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Finding the Fourth Proportional to 24,718.68, 34,111.80 and 13,540.68

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Solution

The fourth proportional to 24,718.68, 34,111.80 and 13,540.68 is: 18,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.68 : 34,111.80 = 13,540.68 : x
  2. Step 2: Convert to fraction form
    24,718.68/34,111.80 = 13,540.68/x
  3. Step 3: Cross multiply
    24,718.68x = 34,111.80 × 13,540.68
  4. Step 4: Simplify right side
    24,718.68x = 461,896,968.02
  5. Step 5: Solve for x
    x = 461,896,968.02/24,718.68
  6. Step 6: Final answer
    x = 18,686.15

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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.