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Finding the Fourth Proportional to 16,257.87, 24,386.82 and 13,809.81

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Solution

The fourth proportional to 16,257.87, 24,386.82 and 13,809.81 is: 20,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.87 : 24,386.82 = 13,809.81 : x
  2. Step 2: Convert to fraction form
    16,257.87/24,386.82 = 13,809.81/x
  3. Step 3: Cross multiply
    16,257.87x = 24,386.82 × 13,809.81
  4. Step 4: Simplify right side
    16,257.87x = 336,777,350.70
  5. Step 5: Solve for x
    x = 336,777,350.70/16,257.87
  6. Step 6: Final answer
    x = 20,714.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.