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Finding the Fourth Proportional to 26,142, 39,222.92 and 12,108.75

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Solution

The fourth proportional to 26,142, 39,222.92 and 12,108.75 is: 18,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142 : 39,222.92 = 12,108.75 : x
  2. Step 2: Convert to fraction form
    26,142/39,222.92 = 12,108.75/x
  3. Step 3: Cross multiply
    26,142x = 39,222.92 × 12,108.75
  4. Step 4: Simplify right side
    26,142x = 474,940,532.55
  5. Step 5: Solve for x
    x = 474,940,532.55/26,142
  6. Step 6: Final answer
    x = 18,167.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.