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Finding the Fourth Proportional to 22,915.68, 34,419.60 and 20,024.16

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Solution

The fourth proportional to 22,915.68, 34,419.60 and 20,024.16 is: 30,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.68 : 34,419.60 = 20,024.16 : x
  2. Step 2: Convert to fraction form
    22,915.68/34,419.60 = 20,024.16/x
  3. Step 3: Cross multiply
    22,915.68x = 34,419.60 × 20,024.16
  4. Step 4: Simplify right side
    22,915.68x = 689,223,577.54
  5. Step 5: Solve for x
    x = 689,223,577.54/22,915.68
  6. Step 6: Final answer
    x = 30,076.51

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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.