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Finding the Fourth Proportional to 16,515.14, 24,772.50 and 7,743.87

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Solution

The fourth proportional to 16,515.14, 24,772.50 and 7,743.87 is: 11,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.14 : 24,772.50 = 7,743.87 : x
  2. Step 2: Convert to fraction form
    16,515.14/24,772.50 = 7,743.87/x
  3. Step 3: Cross multiply
    16,515.14x = 24,772.50 × 7,743.87
  4. Step 4: Simplify right side
    16,515.14x = 191,835,019.58
  5. Step 5: Solve for x
    x = 191,835,019.58/16,515.14
  6. Step 6: Final answer
    x = 11,615.71

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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.