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Finding the Fourth Proportional to 12,384.78, 18,575.12 and 4,591.76

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Solution

The fourth proportional to 12,384.78, 18,575.12 and 4,591.76 is: 6,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.78 : 18,575.12 = 4,591.76 : x
  2. Step 2: Convert to fraction form
    12,384.78/18,575.12 = 4,591.76/x
  3. Step 3: Cross multiply
    12,384.78x = 18,575.12 × 4,591.76
  4. Step 4: Simplify right side
    12,384.78x = 85,292,493.01
  5. Step 5: Solve for x
    x = 85,292,493.01/12,384.78
  6. Step 6: Final answer
    x = 6,886.88

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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.