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Finding the Fourth Proportional to 24,938.40, 37,375.20 and 10,135.20

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Solution

The fourth proportional to 24,938.40, 37,375.20 and 10,135.20 is: 15,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.40 : 37,375.20 = 10,135.20 : x
  2. Step 2: Convert to fraction form
    24,938.40/37,375.20 = 10,135.20/x
  3. Step 3: Cross multiply
    24,938.40x = 37,375.20 × 10,135.20
  4. Step 4: Simplify right side
    24,938.40x = 378,805,127.04
  5. Step 5: Solve for x
    x = 378,805,127.04/24,938.40
  6. Step 6: Final answer
    x = 15,189.63

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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.