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Finding the Fourth Proportional to 24,270.75, 36,414.83 and 9,490.28

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Solution

The fourth proportional to 24,270.75, 36,414.83 and 9,490.28 is: 14,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.75 : 36,414.83 = 9,490.28 : x
  2. Step 2: Convert to fraction form
    24,270.75/36,414.83 = 9,490.28/x
  3. Step 3: Cross multiply
    24,270.75x = 36,414.83 × 9,490.28
  4. Step 4: Simplify right side
    24,270.75x = 345,586,774.50
  5. Step 5: Solve for x
    x = 345,586,774.50/24,270.75
  6. Step 6: Final answer
    x = 14,238.82

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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.