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Finding the Fourth Proportional to 25,701.30, 38,551.88 and 8,171.08

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Solution

The fourth proportional to 25,701.30, 38,551.88 and 8,171.08 is: 12,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.30 : 38,551.88 = 8,171.08 : x
  2. Step 2: Convert to fraction form
    25,701.30/38,551.88 = 8,171.08/x
  3. Step 3: Cross multiply
    25,701.30x = 38,551.88 × 8,171.08
  4. Step 4: Simplify right side
    25,701.30x = 315,010,419.68
  5. Step 5: Solve for x
    x = 315,010,419.68/25,701.30
  6. Step 6: Final answer
    x = 12,256.59

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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.