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Finding the Fourth Proportional to 24,957.84, 34,442.22 and 13,627.80

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Solution

The fourth proportional to 24,957.84, 34,442.22 and 13,627.80 is: 18,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957.84 : 34,442.22 = 13,627.80 : x
  2. Step 2: Convert to fraction form
    24,957.84/34,442.22 = 13,627.80/x
  3. Step 3: Cross multiply
    24,957.84x = 34,442.22 × 13,627.80
  4. Step 4: Simplify right side
    24,957.84x = 469,371,685.72
  5. Step 5: Solve for x
    x = 469,371,685.72/24,957.84
  6. Step 6: Final answer
    x = 18,806.58

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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.