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Finding the Fourth Proportional to 12,292.24, 18,439.20 and 3,527.20

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Solution

The fourth proportional to 12,292.24, 18,439.20 and 3,527.20 is: 5,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.24 : 18,439.20 = 3,527.20 : x
  2. Step 2: Convert to fraction form
    12,292.24/18,439.20 = 3,527.20/x
  3. Step 3: Cross multiply
    12,292.24x = 18,439.20 × 3,527.20
  4. Step 4: Simplify right side
    12,292.24x = 65,038,746.24
  5. Step 5: Solve for x
    x = 65,038,746.24/12,292.24
  6. Step 6: Final answer
    x = 5,291.04

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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.