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Finding the Fourth Proportional to 24,752.72, 37,138.80 and 10,892

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Solution

The fourth proportional to 24,752.72, 37,138.80 and 10,892 is: 16,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.72 : 37,138.80 = 10,892 : x
  2. Step 2: Convert to fraction form
    24,752.72/37,138.80 = 10,892/x
  3. Step 3: Cross multiply
    24,752.72x = 37,138.80 × 10,892
  4. Step 4: Simplify right side
    24,752.72x = 404,515,809.60
  5. Step 5: Solve for x
    x = 404,515,809.60/24,752.72
  6. Step 6: Final answer
    x = 16,342.28

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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.