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Finding the Fourth Proportional to 22,927.53, 34,389.87 and 8,134.50

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Solution

The fourth proportional to 22,927.53, 34,389.87 and 8,134.50 is: 12,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.53 : 34,389.87 = 8,134.50 : x
  2. Step 2: Convert to fraction form
    22,927.53/34,389.87 = 8,134.50/x
  3. Step 3: Cross multiply
    22,927.53x = 34,389.87 × 8,134.50
  4. Step 4: Simplify right side
    22,927.53x = 279,744,397.52
  5. Step 5: Solve for x
    x = 279,744,397.52/22,927.53
  6. Step 6: Final answer
    x = 12,201.24

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Why These Related Problems?

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