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Finding the Fourth Proportional to 24,291.50, 36,437.24 and 9,490.04

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Solution

The fourth proportional to 24,291.50, 36,437.24 and 9,490.04 is: 14,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.50 : 36,437.24 = 9,490.04 : x
  2. Step 2: Convert to fraction form
    24,291.50/36,437.24 = 9,490.04/x
  3. Step 3: Cross multiply
    24,291.50x = 36,437.24 × 9,490.04
  4. Step 4: Simplify right side
    24,291.50x = 345,790,865.09
  5. Step 5: Solve for x
    x = 345,790,865.09/24,291.50
  6. Step 6: Final answer
    x = 14,235.06

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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.