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Finding the Fourth Proportional to 25,530.66, 38,295.99 and 8,001.86

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Solution

The fourth proportional to 25,530.66, 38,295.99 and 8,001.86 is: 12,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,530.66 : 38,295.99 = 8,001.86 : x
  2. Step 2: Convert to fraction form
    25,530.66/38,295.99 = 8,001.86/x
  3. Step 3: Cross multiply
    25,530.66x = 38,295.99 × 8,001.86
  4. Step 4: Simplify right side
    25,530.66x = 306,438,959.06
  5. Step 5: Solve for x
    x = 306,438,959.06/25,530.66
  6. Step 6: Final answer
    x = 12,002.78

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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.