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Finding the Fourth Proportional to 16,591.68, 22,898.52 and 10,305

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Solution

The fourth proportional to 16,591.68, 22,898.52 and 10,305 is: 14,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.68 : 22,898.52 = 10,305 : x
  2. Step 2: Convert to fraction form
    16,591.68/22,898.52 = 10,305/x
  3. Step 3: Cross multiply
    16,591.68x = 22,898.52 × 10,305
  4. Step 4: Simplify right side
    16,591.68x = 235,969,248.60
  5. Step 5: Solve for x
    x = 235,969,248.60/16,591.68
  6. Step 6: Final answer
    x = 14,222.14

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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.