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Finding the Fourth Proportional to 25,849.64, 38,773.20 and 8,319.08

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Solution

The fourth proportional to 25,849.64, 38,773.20 and 8,319.08 is: 12,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.64 : 38,773.20 = 8,319.08 : x
  2. Step 2: Convert to fraction form
    25,849.64/38,773.20 = 8,319.08/x
  3. Step 3: Cross multiply
    25,849.64x = 38,773.20 × 8,319.08
  4. Step 4: Simplify right side
    25,849.64x = 322,557,352.66
  5. Step 5: Solve for x
    x = 322,557,352.66/25,849.64
  6. Step 6: Final answer
    x = 12,478.21

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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.