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Finding the Fourth Proportional to 24,978.31, 37,467.19 and 6,258.20

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Solution

The fourth proportional to 24,978.31, 37,467.19 and 6,258.20 is: 9,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.31 : 37,467.19 = 6,258.20 : x
  2. Step 2: Convert to fraction form
    24,978.31/37,467.19 = 6,258.20/x
  3. Step 3: Cross multiply
    24,978.31x = 37,467.19 × 6,258.20
  4. Step 4: Simplify right side
    24,978.31x = 234,476,988.94
  5. Step 5: Solve for x
    x = 234,476,988.94/24,978.31
  6. Step 6: Final answer
    x = 9,387.22

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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.