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Finding the Fourth Proportional to 16,647.31, 24,971.78 and 6,258.25

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Solution

The fourth proportional to 16,647.31, 24,971.78 and 6,258.25 is: 9,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.31 : 24,971.78 = 6,258.25 : x
  2. Step 2: Convert to fraction form
    16,647.31/24,971.78 = 6,258.25/x
  3. Step 3: Cross multiply
    16,647.31x = 24,971.78 × 6,258.25
  4. Step 4: Simplify right side
    16,647.31x = 156,279,642.19
  5. Step 5: Solve for x
    x = 156,279,642.19/16,647.31
  6. Step 6: Final answer
    x = 9,387.68

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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.