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Finding the Fourth Proportional to 25,615.20, 38,422.80 and 15,722.40

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Solution

The fourth proportional to 25,615.20, 38,422.80 and 15,722.40 is: 23,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.20 : 38,422.80 = 15,722.40 : x
  2. Step 2: Convert to fraction form
    25,615.20/38,422.80 = 15,722.40/x
  3. Step 3: Cross multiply
    25,615.20x = 38,422.80 × 15,722.40
  4. Step 4: Simplify right side
    25,615.20x = 604,098,630.72
  5. Step 5: Solve for x
    x = 604,098,630.72/25,615.20
  6. Step 6: Final answer
    x = 23,583.60

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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.