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Finding the Fourth Proportional to 12,183.80, 18,275.70 and 3,420.20

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Solution

The fourth proportional to 12,183.80, 18,275.70 and 3,420.20 is: 5,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.80 : 18,275.70 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    12,183.80/18,275.70 = 3,420.20/x
  3. Step 3: Cross multiply
    12,183.80x = 18,275.70 × 3,420.20
  4. Step 4: Simplify right side
    12,183.80x = 62,506,549.14
  5. Step 5: Solve for x
    x = 62,506,549.14/12,183.80
  6. Step 6: Final answer
    x = 5,130.30

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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.