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Finding the Fourth Proportional to 13,570.80, 20,372.40 and 7,652.40

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Solution

The fourth proportional to 13,570.80, 20,372.40 and 7,652.40 is: 11,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.80 : 20,372.40 = 7,652.40 : x
  2. Step 2: Convert to fraction form
    13,570.80/20,372.40 = 7,652.40/x
  3. Step 3: Cross multiply
    13,570.80x = 20,372.40 × 7,652.40
  4. Step 4: Simplify right side
    13,570.80x = 155,897,753.76
  5. Step 5: Solve for x
    x = 155,897,753.76/13,570.80
  6. Step 6: Final answer
    x = 11,487.73

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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.