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Finding the Fourth Proportional to 12,292.32, 18,438 and 3,527.20

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Solution

The fourth proportional to 12,292.32, 18,438 and 3,527.20 is: 5,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.32 : 18,438 = 3,527.20 : x
  2. Step 2: Convert to fraction form
    12,292.32/18,438 = 3,527.20/x
  3. Step 3: Cross multiply
    12,292.32x = 18,438 × 3,527.20
  4. Step 4: Simplify right side
    12,292.32x = 65,034,513.60
  5. Step 5: Solve for x
    x = 65,034,513.60/12,292.32
  6. Step 6: Final answer
    x = 5,290.66

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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.