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Finding the Fourth Proportional to 25,774.50, 38,657.20 and 11,731.24

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Solution

The fourth proportional to 25,774.50, 38,657.20 and 11,731.24 is: 17,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.50 : 38,657.20 = 11,731.24 : x
  2. Step 2: Convert to fraction form
    25,774.50/38,657.20 = 11,731.24/x
  3. Step 3: Cross multiply
    25,774.50x = 38,657.20 × 11,731.24
  4. Step 4: Simplify right side
    25,774.50x = 453,496,890.93
  5. Step 5: Solve for x
    x = 453,496,890.93/25,774.50
  6. Step 6: Final answer
    x = 17,594.79

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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.