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Finding the Fourth Proportional to 16,177.50, 22,327.11 and 10,591.74

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Solution

The fourth proportional to 16,177.50, 22,327.11 and 10,591.74 is: 14,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.50 : 22,327.11 = 10,591.74 : x
  2. Step 2: Convert to fraction form
    16,177.50/22,327.11 = 10,591.74/x
  3. Step 3: Cross multiply
    16,177.50x = 22,327.11 × 10,591.74
  4. Step 4: Simplify right side
    16,177.50x = 236,482,944.07
  5. Step 5: Solve for x
    x = 236,482,944.07/16,177.50
  6. Step 6: Final answer
    x = 14,618.02

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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.