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Finding the Fourth Proportional to 12,266.80, 18,387.24 and 5,340.40

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Solution

The fourth proportional to 12,266.80, 18,387.24 and 5,340.40 is: 8,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.80 : 18,387.24 = 5,340.40 : x
  2. Step 2: Convert to fraction form
    12,266.80/18,387.24 = 5,340.40/x
  3. Step 3: Cross multiply
    12,266.80x = 18,387.24 × 5,340.40
  4. Step 4: Simplify right side
    12,266.80x = 98,195,216.50
  5. Step 5: Solve for x
    x = 98,195,216.50/12,266.80
  6. Step 6: Final answer
    x = 8,004.96

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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.