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Finding the Fourth Proportional to 16,093,602.40, 24,108,910.80 and 9,684,817.60

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Solution

The fourth proportional to 16,093,602.40, 24,108,910.80 and 9,684,817.60 is: 14,508,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093,602.40 : 24,108,910.80 = 9,684,817.60 : x
  2. Step 2: Convert to fraction form
    16,093,602.40/24,108,910.80 = 9,684,817.60/x
  3. Step 3: Cross multiply
    16,093,602.40x = 24,108,910.80 × 9,684,817.60
  4. Step 4: Simplify right side
    16,093,602.40x = 233,490,403,632,670.09
  5. Step 5: Solve for x
    x = 233,490,403,632,670.09/16,093,602.40
  6. Step 6: Final answer
    x = 14,508,274.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.