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Finding the Fourth Proportional to 12,377.68, 18,570.35 and 4,057.76

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Solution

The fourth proportional to 12,377.68, 18,570.35 and 4,057.76 is: 6,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.68 : 18,570.35 = 4,057.76 : x
  2. Step 2: Convert to fraction form
    12,377.68/18,570.35 = 4,057.76/x
  3. Step 3: Cross multiply
    12,377.68x = 18,570.35 × 4,057.76
  4. Step 4: Simplify right side
    12,377.68x = 75,354,023.42
  5. Step 5: Solve for x
    x = 75,354,023.42/12,377.68
  6. Step 6: Final answer
    x = 6,087.90

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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.