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Finding the Fourth Proportional to 24,967.88, 37,452 and 6,248.24

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Solution

The fourth proportional to 24,967.88, 37,452 and 6,248.24 is: 9,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.88 : 37,452 = 6,248.24 : x
  2. Step 2: Convert to fraction form
    24,967.88/37,452 = 6,248.24/x
  3. Step 3: Cross multiply
    24,967.88x = 37,452 × 6,248.24
  4. Step 4: Simplify right side
    24,967.88x = 234,009,084.48
  5. Step 5: Solve for x
    x = 234,009,084.48/24,967.88
  6. Step 6: Final answer
    x = 9,372.41

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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.