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Finding the Fourth Proportional to 24,582.96, 36,879.12 and 9,001.44

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Solution

The fourth proportional to 24,582.96, 36,879.12 and 9,001.44 is: 13,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.96 : 36,879.12 = 9,001.44 : x
  2. Step 2: Convert to fraction form
    24,582.96/36,879.12 = 9,001.44/x
  3. Step 3: Cross multiply
    24,582.96x = 36,879.12 × 9,001.44
  4. Step 4: Simplify right side
    24,582.96x = 331,965,185.93
  5. Step 5: Solve for x
    x = 331,965,185.93/24,582.96
  6. Step 6: Final answer
    x = 13,503.87

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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.