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Finding the Fourth Proportional to 24,679.60, 37,023.22 and 8,035.72

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Solution

The fourth proportional to 24,679.60, 37,023.22 and 8,035.72 is: 12,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,679.60 : 37,023.22 = 8,035.72 : x
  2. Step 2: Convert to fraction form
    24,679.60/37,023.22 = 8,035.72/x
  3. Step 3: Cross multiply
    24,679.60x = 37,023.22 × 8,035.72
  4. Step 4: Simplify right side
    24,679.60x = 297,508,229.42
  5. Step 5: Solve for x
    x = 297,508,229.42/24,679.60
  6. Step 6: Final answer
    x = 12,054.82

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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.