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Finding the Fourth Proportional to 24,718.56, 34,111.50 and 13,540.56

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Solution

The fourth proportional to 24,718.56, 34,111.50 and 13,540.56 is: 18,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.56 : 34,111.50 = 13,540.56 : x
  2. Step 2: Convert to fraction form
    24,718.56/34,111.50 = 13,540.56/x
  3. Step 3: Cross multiply
    24,718.56x = 34,111.50 × 13,540.56
  4. Step 4: Simplify right side
    24,718.56x = 461,888,812.44
  5. Step 5: Solve for x
    x = 461,888,812.44/24,718.56
  6. Step 6: Final answer
    x = 18,685.91

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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.