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Finding the Fourth Proportional to 24,322.56, 36,478.98 and 7,679.76

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Solution

The fourth proportional to 24,322.56, 36,478.98 and 7,679.76 is: 11,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.56 : 36,478.98 = 7,679.76 : x
  2. Step 2: Convert to fraction form
    24,322.56/36,478.98 = 7,679.76/x
  3. Step 3: Cross multiply
    24,322.56x = 36,478.98 × 7,679.76
  4. Step 4: Simplify right side
    24,322.56x = 280,149,811.44
  5. Step 5: Solve for x
    x = 280,149,811.44/24,322.56
  6. Step 6: Final answer
    x = 11,518.11

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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.