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Finding the Fourth Proportional to 16,509.87, 22,780.17 and 10,537.74

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Solution

The fourth proportional to 16,509.87, 22,780.17 and 10,537.74 is: 14,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.87 : 22,780.17 = 10,537.74 : x
  2. Step 2: Convert to fraction form
    16,509.87/22,780.17 = 10,537.74/x
  3. Step 3: Cross multiply
    16,509.87x = 22,780.17 × 10,537.74
  4. Step 4: Simplify right side
    16,509.87x = 240,051,508.62
  5. Step 5: Solve for x
    x = 240,051,508.62/16,509.87
  6. Step 6: Final answer
    x = 14,539.88

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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.