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Finding the Fourth Proportional to 16,607.49, 22,921.29 and 9,897

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Solution

The fourth proportional to 16,607.49, 22,921.29 and 9,897 is: 13,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,607.49 : 22,921.29 = 9,897 : x
  2. Step 2: Convert to fraction form
    16,607.49/22,921.29 = 9,897/x
  3. Step 3: Cross multiply
    16,607.49x = 22,921.29 × 9,897
  4. Step 4: Simplify right side
    16,607.49x = 226,852,007.13
  5. Step 5: Solve for x
    x = 226,852,007.13/16,607.49
  6. Step 6: Final answer
    x = 13,659.62

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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.