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Finding the Fourth Proportional to 12,387.20, 18,595.20 and 7,462.40

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Solution

The fourth proportional to 12,387.20, 18,595.20 and 7,462.40 is: 11,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.20 : 18,595.20 = 7,462.40 : x
  2. Step 2: Convert to fraction form
    12,387.20/18,595.20 = 7,462.40/x
  3. Step 3: Cross multiply
    12,387.20x = 18,595.20 × 7,462.40
  4. Step 4: Simplify right side
    12,387.20x = 138,764,820.48
  5. Step 5: Solve for x
    x = 138,764,820.48/12,387.20
  6. Step 6: Final answer
    x = 11,202.27

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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.