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Finding the Fourth Proportional to 15,842.24, 21,863.40 and 8,768.96

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Solution

The fourth proportional to 15,842.24, 21,863.40 and 8,768.96 is: 12,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.24 : 21,863.40 = 8,768.96 : x
  2. Step 2: Convert to fraction form
    15,842.24/21,863.40 = 8,768.96/x
  3. Step 3: Cross multiply
    15,842.24x = 21,863.40 × 8,768.96
  4. Step 4: Simplify right side
    15,842.24x = 191,719,280.06
  5. Step 5: Solve for x
    x = 191,719,280.06/15,842.24
  6. Step 6: Final answer
    x = 12,101.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.