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Finding the Fourth Proportional to 16,817.40, 23,208.16 and 9,263.99

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Solution

The fourth proportional to 16,817.40, 23,208.16 and 9,263.99 is: 12,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.40 : 23,208.16 = 9,263.99 : x
  2. Step 2: Convert to fraction form
    16,817.40/23,208.16 = 9,263.99/x
  3. Step 3: Cross multiply
    16,817.40x = 23,208.16 × 9,263.99
  4. Step 4: Simplify right side
    16,817.40x = 215,000,162.16
  5. Step 5: Solve for x
    x = 215,000,162.16/16,817.40
  6. Step 6: Final answer
    x = 12,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.