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Finding the Fourth Proportional to 22,927.57, 34,401.24 and 12,405

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Solution

The fourth proportional to 22,927.57, 34,401.24 and 12,405 is: 18,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.57 : 34,401.24 = 12,405 : x
  2. Step 2: Convert to fraction form
    22,927.57/34,401.24 = 12,405/x
  3. Step 3: Cross multiply
    22,927.57x = 34,401.24 × 12,405
  4. Step 4: Simplify right side
    22,927.57x = 426,747,382.20
  5. Step 5: Solve for x
    x = 426,747,382.20/22,927.57
  6. Step 6: Final answer
    x = 18,612.85

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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.