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Finding the Fourth Proportional to 21,849.39, 32,765.72 and 7,806.78

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Solution

The fourth proportional to 21,849.39, 32,765.72 and 7,806.78 is: 11,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.39 : 32,765.72 = 7,806.78 : x
  2. Step 2: Convert to fraction form
    21,849.39/32,765.72 = 7,806.78/x
  3. Step 3: Cross multiply
    21,849.39x = 32,765.72 × 7,806.78
  4. Step 4: Simplify right side
    21,849.39x = 255,794,728.55
  5. Step 5: Solve for x
    x = 255,794,728.55/21,849.39
  6. Step 6: Final answer
    x = 11,707.18

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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.