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Finding the Fourth Proportional to 23,182.13, 34,757.84 and 8,389.13

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Solution

The fourth proportional to 23,182.13, 34,757.84 and 8,389.13 is: 12,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.13 : 34,757.84 = 8,389.13 : x
  2. Step 2: Convert to fraction form
    23,182.13/34,757.84 = 8,389.13/x
  3. Step 3: Cross multiply
    23,182.13x = 34,757.84 × 8,389.13
  4. Step 4: Simplify right side
    23,182.13x = 291,587,822.54
  5. Step 5: Solve for x
    x = 291,587,822.54/23,182.13
  6. Step 6: Final answer
    x = 12,578.13

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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.