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Finding the Fourth Proportional to 24,120.86, 36,182.72 and 9,329.86

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Solution

The fourth proportional to 24,120.86, 36,182.72 and 9,329.86 is: 13,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120.86 : 36,182.72 = 9,329.86 : x
  2. Step 2: Convert to fraction form
    24,120.86/36,182.72 = 9,329.86/x
  3. Step 3: Cross multiply
    24,120.86x = 36,182.72 × 9,329.86
  4. Step 4: Simplify right side
    24,120.86x = 337,579,574.91
  5. Step 5: Solve for x
    x = 337,579,574.91/24,120.86
  6. Step 6: Final answer
    x = 13,995.34

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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.