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Finding the Fourth Proportional to 25,531.32, 38,298.96 and 8,001

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Solution

The fourth proportional to 25,531.32, 38,298.96 and 8,001 is: 12,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,531.32 : 38,298.96 = 8,001 : x
  2. Step 2: Convert to fraction form
    25,531.32/38,298.96 = 8,001/x
  3. Step 3: Cross multiply
    25,531.32x = 38,298.96 × 8,001
  4. Step 4: Simplify right side
    25,531.32x = 306,429,978.96
  5. Step 5: Solve for x
    x = 306,429,978.96/25,531.32
  6. Step 6: Final answer
    x = 12,002.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.