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Finding the Fourth Proportional to 12,267.20, 18,400.80 and 7,342.40

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Solution

The fourth proportional to 12,267.20, 18,400.80 and 7,342.40 is: 11,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.20 : 18,400.80 = 7,342.40 : x
  2. Step 2: Convert to fraction form
    12,267.20/18,400.80 = 7,342.40/x
  3. Step 3: Cross multiply
    12,267.20x = 18,400.80 × 7,342.40
  4. Step 4: Simplify right side
    12,267.20x = 135,106,033.92
  5. Step 5: Solve for x
    x = 135,106,033.92/12,267.20
  6. Step 6: Final answer
    x = 11,013.60

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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.