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Finding the Fourth Proportional to 24,291.64, 36,438.92 and 7,652.20

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Solution

The fourth proportional to 24,291.64, 36,438.92 and 7,652.20 is: 11,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.64 : 36,438.92 = 7,652.20 : x
  2. Step 2: Convert to fraction form
    24,291.64/36,438.92 = 7,652.20/x
  3. Step 3: Cross multiply
    24,291.64x = 36,438.92 × 7,652.20
  4. Step 4: Simplify right side
    24,291.64x = 278,837,903.62
  5. Step 5: Solve for x
    x = 278,837,903.62/24,291.64
  6. Step 6: Final answer
    x = 11,478.76

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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.