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Finding the Fourth Proportional to 16,257.59, 22,432.42 and 10,285.05

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Solution

The fourth proportional to 16,257.59, 22,432.42 and 10,285.05 is: 14,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.59 : 22,432.42 = 10,285.05 : x
  2. Step 2: Convert to fraction form
    16,257.59/22,432.42 = 10,285.05/x
  3. Step 3: Cross multiply
    16,257.59x = 22,432.42 × 10,285.05
  4. Step 4: Simplify right side
    16,257.59x = 230,718,658.30
  5. Step 5: Solve for x
    x = 230,718,658.30/16,257.59
  6. Step 6: Final answer
    x = 14,191.44

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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.