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Finding the Fourth Proportional to 16,053.57, 22,154.09 and 9,680.49

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Solution

The fourth proportional to 16,053.57, 22,154.09 and 9,680.49 is: 13,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.57 : 22,154.09 = 9,680.49 : x
  2. Step 2: Convert to fraction form
    16,053.57/22,154.09 = 9,680.49/x
  3. Step 3: Cross multiply
    16,053.57x = 22,154.09 × 9,680.49
  4. Step 4: Simplify right side
    16,053.57x = 214,462,398.30
  5. Step 5: Solve for x
    x = 214,462,398.30/16,053.57
  6. Step 6: Final answer
    x = 13,359.17

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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.