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Finding the Fourth Proportional to 16,515.74, 24,780.54 and 10,280.96

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Solution

The fourth proportional to 16,515.74, 24,780.54 and 10,280.96 is: 15,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.74 : 24,780.54 = 10,280.96 : x
  2. Step 2: Convert to fraction form
    16,515.74/24,780.54 = 10,280.96/x
  3. Step 3: Cross multiply
    16,515.74x = 24,780.54 × 10,280.96
  4. Step 4: Simplify right side
    16,515.74x = 254,767,841.02
  5. Step 5: Solve for x
    x = 254,767,841.02/16,515.74
  6. Step 6: Final answer
    x = 15,425.76

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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.