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Finding the Fourth Proportional to 23,744, 32,766.18 and 13,133.72

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Solution

The fourth proportional to 23,744, 32,766.18 and 13,133.72 is: 18,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744 : 32,766.18 = 13,133.72 : x
  2. Step 2: Convert to fraction form
    23,744/32,766.18 = 13,133.72/x
  3. Step 3: Cross multiply
    23,744x = 32,766.18 × 13,133.72
  4. Step 4: Simplify right side
    23,744x = 430,341,833.59
  5. Step 5: Solve for x
    x = 430,341,833.59/23,744
  6. Step 6: Final answer
    x = 18,124.23

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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.