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Finding the Fourth Proportional to 24,534.68, 33,862.29 and 14,462.54

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Solution

The fourth proportional to 24,534.68, 33,862.29 and 14,462.54 is: 19,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.68 : 33,862.29 = 14,462.54 : x
  2. Step 2: Convert to fraction form
    24,534.68/33,862.29 = 14,462.54/x
  3. Step 3: Cross multiply
    24,534.68x = 33,862.29 × 14,462.54
  4. Step 4: Simplify right side
    24,534.68x = 489,734,723.62
  5. Step 5: Solve for x
    x = 489,734,723.62/24,534.68
  6. Step 6: Final answer
    x = 19,960.92

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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.