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Finding the Fourth Proportional to 23,438.34, 32,344.88 and 12,827.97

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Solution

The fourth proportional to 23,438.34, 32,344.88 and 12,827.97 is: 17,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.34 : 32,344.88 = 12,827.97 : x
  2. Step 2: Convert to fraction form
    23,438.34/32,344.88 = 12,827.97/x
  3. Step 3: Cross multiply
    23,438.34x = 32,344.88 × 12,827.97
  4. Step 4: Simplify right side
    23,438.34x = 414,919,086.15
  5. Step 5: Solve for x
    x = 414,919,086.15/23,438.34
  6. Step 6: Final answer
    x = 17,702.58

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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.