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Finding the Fourth Proportional to 16,406.92, 22,641.08 and 9,237.60

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Solution

The fourth proportional to 16,406.92, 22,641.08 and 9,237.60 is: 12,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.92 : 22,641.08 = 9,237.60 : x
  2. Step 2: Convert to fraction form
    16,406.92/22,641.08 = 9,237.60/x
  3. Step 3: Cross multiply
    16,406.92x = 22,641.08 × 9,237.60
  4. Step 4: Simplify right side
    16,406.92x = 209,149,240.61
  5. Step 5: Solve for x
    x = 209,149,240.61/16,406.92
  6. Step 6: Final answer
    x = 12,747.62

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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.