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Finding the Fourth Proportional to 22,672.64, 34,020.10 and 10,201.48

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Solution

The fourth proportional to 22,672.64, 34,020.10 and 10,201.48 is: 15,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.64 : 34,020.10 = 10,201.48 : x
  2. Step 2: Convert to fraction form
    22,672.64/34,020.10 = 10,201.48/x
  3. Step 3: Cross multiply
    22,672.64x = 34,020.10 × 10,201.48
  4. Step 4: Simplify right side
    22,672.64x = 347,055,369.75
  5. Step 5: Solve for x
    x = 347,055,369.75/22,672.64
  6. Step 6: Final answer
    x = 15,307.23

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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.