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Finding the Fourth Proportional to 16,489.77, 22,726.13 and 12,006.42

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Solution

The fourth proportional to 16,489.77, 22,726.13 and 12,006.42 is: 16,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.77 : 22,726.13 = 12,006.42 : x
  2. Step 2: Convert to fraction form
    16,489.77/22,726.13 = 12,006.42/x
  3. Step 3: Cross multiply
    16,489.77x = 22,726.13 × 12,006.42
  4. Step 4: Simplify right side
    16,489.77x = 272,859,348.12
  5. Step 5: Solve for x
    x = 272,859,348.12/16,489.77
  6. Step 6: Final answer
    x = 16,547.19

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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.