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Finding the Fourth Proportional to 24,658.11, 34,032.45 and 23,838

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Solution

The fourth proportional to 24,658.11, 34,032.45 and 23,838 is: 32,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.11 : 34,032.45 = 23,838 : x
  2. Step 2: Convert to fraction form
    24,658.11/34,032.45 = 23,838/x
  3. Step 3: Cross multiply
    24,658.11x = 34,032.45 × 23,838
  4. Step 4: Simplify right side
    24,658.11x = 811,265,543.10
  5. Step 5: Solve for x
    x = 811,265,543.10/24,658.11
  6. Step 6: Final answer
    x = 32,900.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.