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Finding the Fourth Proportional to 16,402.94, 24,604.86 and 6,407.30

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Solution

The fourth proportional to 16,402.94, 24,604.86 and 6,407.30 is: 9,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.94 : 24,604.86 = 6,407.30 : x
  2. Step 2: Convert to fraction form
    16,402.94/24,604.86 = 6,407.30/x
  3. Step 3: Cross multiply
    16,402.94x = 24,604.86 × 6,407.30
  4. Step 4: Simplify right side
    16,402.94x = 157,650,805.02
  5. Step 5: Solve for x
    x = 157,650,805.02/16,402.94
  6. Step 6: Final answer
    x = 9,611.13

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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.