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Finding the Fourth Proportional to 23,437.78, 32,344.17 and 12,827.49

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Solution

The fourth proportional to 23,437.78, 32,344.17 and 12,827.49 is: 17,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.78 : 32,344.17 = 12,827.49 : x
  2. Step 2: Convert to fraction form
    23,437.78/32,344.17 = 12,827.49/x
  3. Step 3: Cross multiply
    23,437.78x = 32,344.17 × 12,827.49
  4. Step 4: Simplify right side
    23,437.78x = 414,894,517.23
  5. Step 5: Solve for x
    x = 414,894,517.23/23,437.78
  6. Step 6: Final answer
    x = 17,701.95

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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.