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Finding the Fourth Proportional to 16,387.50, 24,578.13 and 5,291.52

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Solution

The fourth proportional to 16,387.50, 24,578.13 and 5,291.52 is: 7,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.50 : 24,578.13 = 5,291.52 : x
  2. Step 2: Convert to fraction form
    16,387.50/24,578.13 = 5,291.52/x
  3. Step 3: Cross multiply
    16,387.50x = 24,578.13 × 5,291.52
  4. Step 4: Simplify right side
    16,387.50x = 130,055,666.46
  5. Step 5: Solve for x
    x = 130,055,666.46/16,387.50
  6. Step 6: Final answer
    x = 7,936.27

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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.