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Finding the Fourth Proportional to 23,032.86, 34,493.92 and 13,142.15

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Solution

The fourth proportional to 23,032.86, 34,493.92 and 13,142.15 is: 19,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.86 : 34,493.92 = 13,142.15 : x
  2. Step 2: Convert to fraction form
    23,032.86/34,493.92 = 13,142.15/x
  3. Step 3: Cross multiply
    23,032.86x = 34,493.92 × 13,142.15
  4. Step 4: Simplify right side
    23,032.86x = 453,324,270.73
  5. Step 5: Solve for x
    x = 453,324,270.73/23,032.86
  6. Step 6: Final answer
    x = 19,681.63

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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.