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Finding the Fourth Proportional to 16,397.37, 22,627.70 and 9,685.17

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Solution

The fourth proportional to 16,397.37, 22,627.70 and 9,685.17 is: 13,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.37 : 22,627.70 = 9,685.17 : x
  2. Step 2: Convert to fraction form
    16,397.37/22,627.70 = 9,685.17/x
  3. Step 3: Cross multiply
    16,397.37x = 22,627.70 × 9,685.17
  4. Step 4: Simplify right side
    16,397.37x = 219,153,121.21
  5. Step 5: Solve for x
    x = 219,153,121.21/16,397.37
  6. Step 6: Final answer
    x = 13,365.14

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