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Finding the Fourth Proportional to 12,186.42, 18,280.80 and 5,069.16

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Solution

The fourth proportional to 12,186.42, 18,280.80 and 5,069.16 is: 7,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.42 : 18,280.80 = 5,069.16 : x
  2. Step 2: Convert to fraction form
    12,186.42/18,280.80 = 5,069.16/x
  3. Step 3: Cross multiply
    12,186.42x = 18,280.80 × 5,069.16
  4. Step 4: Simplify right side
    12,186.42x = 92,668,300.13
  5. Step 5: Solve for x
    x = 92,668,300.13/12,186.42
  6. Step 6: Final answer
    x = 7,604.23

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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.