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Finding the Fourth Proportional to 23,627.60, 32,600.20 and 15,234

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Solution

The fourth proportional to 23,627.60, 32,600.20 and 15,234 is: 21,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.60 : 32,600.20 = 15,234 : x
  2. Step 2: Convert to fraction form
    23,627.60/32,600.20 = 15,234/x
  3. Step 3: Cross multiply
    23,627.60x = 32,600.20 × 15,234
  4. Step 4: Simplify right side
    23,627.60x = 496,631,446.80
  5. Step 5: Solve for x
    x = 496,631,446.80/23,627.60
  6. Step 6: Final answer
    x = 21,019.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.