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Finding the Fourth Proportional to 16,199.52, 22,355.25 and 9,125.76

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Solution

The fourth proportional to 16,199.52, 22,355.25 and 9,125.76 is: 12,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.52 : 22,355.25 = 9,125.76 : x
  2. Step 2: Convert to fraction form
    16,199.52/22,355.25 = 9,125.76/x
  3. Step 3: Cross multiply
    16,199.52x = 22,355.25 × 9,125.76
  4. Step 4: Simplify right side
    16,199.52x = 204,008,646.24
  5. Step 5: Solve for x
    x = 204,008,646.24/16,199.52
  6. Step 6: Final answer
    x = 12,593.50

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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.