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Finding the Fourth Proportional to 16,255.93, 24,387.99 and 7,497

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Solution

The fourth proportional to 16,255.93, 24,387.99 and 7,497 is: 11,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.93 : 24,387.99 = 7,497 : x
  2. Step 2: Convert to fraction form
    16,255.93/24,387.99 = 7,497/x
  3. Step 3: Cross multiply
    16,255.93x = 24,387.99 × 7,497
  4. Step 4: Simplify right side
    16,255.93x = 182,836,761.03
  5. Step 5: Solve for x
    x = 182,836,761.03/16,255.93
  6. Step 6: Final answer
    x = 11,247.39

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Why These Related Problems?

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