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Finding the Fourth Proportional to 22,806.24, 34,211.52 and 8,952

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Solution

The fourth proportional to 22,806.24, 34,211.52 and 8,952 is: 13,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.24 : 34,211.52 = 8,952 : x
  2. Step 2: Convert to fraction form
    22,806.24/34,211.52 = 8,952/x
  3. Step 3: Cross multiply
    22,806.24x = 34,211.52 × 8,952
  4. Step 4: Simplify right side
    22,806.24x = 306,261,527.04
  5. Step 5: Solve for x
    x = 306,261,527.04/22,806.24
  6. Step 6: Final answer
    x = 13,428.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.