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Finding the Fourth Proportional to 24,291.72, 36,438.87 and 7,653.05

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Solution

The fourth proportional to 24,291.72, 36,438.87 and 7,653.05 is: 11,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.72 : 36,438.87 = 7,653.05 : x
  2. Step 2: Convert to fraction form
    24,291.72/36,438.87 = 7,653.05/x
  3. Step 3: Cross multiply
    24,291.72x = 36,438.87 × 7,653.05
  4. Step 4: Simplify right side
    24,291.72x = 278,868,311.86
  5. Step 5: Solve for x
    x = 278,868,311.86/24,291.72
  6. Step 6: Final answer
    x = 11,479.97

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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.