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Finding the Fourth Proportional to 25,774.32, 38,659.32 and 13,287.60

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Solution

The fourth proportional to 25,774.32, 38,659.32 and 13,287.60 is: 19,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.32 : 38,659.32 = 13,287.60 : x
  2. Step 2: Convert to fraction form
    25,774.32/38,659.32 = 13,287.60/x
  3. Step 3: Cross multiply
    25,774.32x = 38,659.32 × 13,287.60
  4. Step 4: Simplify right side
    25,774.32x = 513,689,580.43
  5. Step 5: Solve for x
    x = 513,689,580.43/25,774.32
  6. Step 6: Final answer
    x = 19,930.29

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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.