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Finding the Fourth Proportional to 24,867.50, 34,317.22 and 13,689.50

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Solution

The fourth proportional to 24,867.50, 34,317.22 and 13,689.50 is: 18,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867.50 : 34,317.22 = 13,689.50 : x
  2. Step 2: Convert to fraction form
    24,867.50/34,317.22 = 13,689.50/x
  3. Step 3: Cross multiply
    24,867.50x = 34,317.22 × 13,689.50
  4. Step 4: Simplify right side
    24,867.50x = 469,785,583.19
  5. Step 5: Solve for x
    x = 469,785,583.19/24,867.50
  6. Step 6: Final answer
    x = 18,891.55

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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.