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Finding the Fourth Proportional to 24,509.58, 36,770.85 and 12,819.66

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Solution

The fourth proportional to 24,509.58, 36,770.85 and 12,819.66 is: 19,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.58 : 36,770.85 = 12,819.66 : x
  2. Step 2: Convert to fraction form
    24,509.58/36,770.85 = 12,819.66/x
  3. Step 3: Cross multiply
    24,509.58x = 36,770.85 × 12,819.66
  4. Step 4: Simplify right side
    24,509.58x = 471,389,794.91
  5. Step 5: Solve for x
    x = 471,389,794.91/24,509.58
  6. Step 6: Final answer
    x = 19,232.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.