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Finding the Fourth Proportional to 24,238.80, 36,343.31 and 9,430.47

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Solution

The fourth proportional to 24,238.80, 36,343.31 and 9,430.47 is: 14,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.80 : 36,343.31 = 9,430.47 : x
  2. Step 2: Convert to fraction form
    24,238.80/36,343.31 = 9,430.47/x
  3. Step 3: Cross multiply
    24,238.80x = 36,343.31 × 9,430.47
  4. Step 4: Simplify right side
    24,238.80x = 342,734,447.50
  5. Step 5: Solve for x
    x = 342,734,447.50/24,238.80
  6. Step 6: Final answer
    x = 14,139.91

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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.