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Finding the Fourth Proportional to 23,438.28, 32,344.81 and 12,827.89

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Solution

The fourth proportional to 23,438.28, 32,344.81 and 12,827.89 is: 17,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.28 : 32,344.81 = 12,827.89 : x
  2. Step 2: Convert to fraction form
    23,438.28/32,344.81 = 12,827.89/x
  3. Step 3: Cross multiply
    23,438.28x = 32,344.81 × 12,827.89
  4. Step 4: Simplify right side
    23,438.28x = 414,915,664.75
  5. Step 5: Solve for x
    x = 414,915,664.75/23,438.28
  6. Step 6: Final answer
    x = 17,702.48

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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.