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Finding the Fourth Proportional to 12,281.20, 18,433.68 and 7,356.40

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Solution

The fourth proportional to 12,281.20, 18,433.68 and 7,356.40 is: 11,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.20 : 18,433.68 = 7,356.40 : x
  2. Step 2: Convert to fraction form
    12,281.20/18,433.68 = 7,356.40/x
  3. Step 3: Cross multiply
    12,281.20x = 18,433.68 × 7,356.40
  4. Step 4: Simplify right side
    12,281.20x = 135,605,523.55
  5. Step 5: Solve for x
    x = 135,605,523.55/12,281.20
  6. Step 6: Final answer
    x = 11,041.72

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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.