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Finding the Fourth Proportional to 25,367.77, 38,024.79 and 9,565.96

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Solution

The fourth proportional to 25,367.77, 38,024.79 and 9,565.96 is: 14,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367.77 : 38,024.79 = 9,565.96 : x
  2. Step 2: Convert to fraction form
    25,367.77/38,024.79 = 9,565.96/x
  3. Step 3: Cross multiply
    25,367.77x = 38,024.79 × 9,565.96
  4. Step 4: Simplify right side
    25,367.77x = 363,743,620.15
  5. Step 5: Solve for x
    x = 363,743,620.15/25,367.77
  6. Step 6: Final answer
    x = 14,338.81

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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.