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Finding the Fourth Proportional to 16,111.65, 22,234.05 and 9,038.28

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Solution

The fourth proportional to 16,111.65, 22,234.05 and 9,038.28 is: 12,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.65 : 22,234.05 = 9,038.28 : x
  2. Step 2: Convert to fraction form
    16,111.65/22,234.05 = 9,038.28/x
  3. Step 3: Cross multiply
    16,111.65x = 22,234.05 × 9,038.28
  4. Step 4: Simplify right side
    16,111.65x = 200,957,569.43
  5. Step 5: Solve for x
    x = 200,957,569.43/16,111.65
  6. Step 6: Final answer
    x = 12,472.81

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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.