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Finding the Fourth Proportional to 23,232.27, 34,862.07 and 9,193.65

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Solution

The fourth proportional to 23,232.27, 34,862.07 and 9,193.65 is: 13,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.27 : 34,862.07 = 9,193.65 : x
  2. Step 2: Convert to fraction form
    23,232.27/34,862.07 = 9,193.65/x
  3. Step 3: Cross multiply
    23,232.27x = 34,862.07 × 9,193.65
  4. Step 4: Simplify right side
    23,232.27x = 320,509,669.86
  5. Step 5: Solve for x
    x = 320,509,669.86/23,232.27
  6. Step 6: Final answer
    x = 13,795.88

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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.