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Finding the Fourth Proportional to 25,432.84, 38,171.22 and 17,647.12

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Solution

The fourth proportional to 25,432.84, 38,171.22 and 17,647.12 is: 26,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432.84 : 38,171.22 = 17,647.12 : x
  2. Step 2: Convert to fraction form
    25,432.84/38,171.22 = 17,647.12/x
  3. Step 3: Cross multiply
    25,432.84x = 38,171.22 × 17,647.12
  4. Step 4: Simplify right side
    25,432.84x = 673,612,099.89
  5. Step 5: Solve for x
    x = 673,612,099.89/25,432.84
  6. Step 6: Final answer
    x = 26,485.92

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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.