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Finding the Fourth Proportional to 23,032.92, 34,549 and 10,375.64

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Solution

The fourth proportional to 23,032.92, 34,549 and 10,375.64 is: 15,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.92 : 34,549 = 10,375.64 : x
  2. Step 2: Convert to fraction form
    23,032.92/34,549 = 10,375.64/x
  3. Step 3: Cross multiply
    23,032.92x = 34,549 × 10,375.64
  4. Step 4: Simplify right side
    23,032.92x = 358,467,986.36
  5. Step 5: Solve for x
    x = 358,467,986.36/23,032.92
  6. Step 6: Final answer
    x = 15,563.29

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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.