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Finding the Fourth Proportional to 15,842.55, 21,862.45 and 8,768.82

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Solution

The fourth proportional to 15,842.55, 21,862.45 and 8,768.82 is: 12,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.55 : 21,862.45 = 8,768.82 : x
  2. Step 2: Convert to fraction form
    15,842.55/21,862.45 = 8,768.82/x
  3. Step 3: Cross multiply
    15,842.55x = 21,862.45 × 8,768.82
  4. Step 4: Simplify right side
    15,842.55x = 191,707,757.57
  5. Step 5: Solve for x
    x = 191,707,757.57/15,842.55
  6. Step 6: Final answer
    x = 12,100.82

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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.