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Finding the Fourth Proportional to 23,182.71, 34,777.54 and 8,395.10

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Solution

The fourth proportional to 23,182.71, 34,777.54 and 8,395.10 is: 12,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.71 : 34,777.54 = 8,395.10 : x
  2. Step 2: Convert to fraction form
    23,182.71/34,777.54 = 8,395.10/x
  3. Step 3: Cross multiply
    23,182.71x = 34,777.54 × 8,395.10
  4. Step 4: Simplify right side
    23,182.71x = 291,960,926.05
  5. Step 5: Solve for x
    x = 291,960,926.05/23,182.71
  6. Step 6: Final answer
    x = 12,593.91

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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.