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Finding the Fourth Proportional to 15,253.38, 22,871.97 and 7,854.84

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Solution

The fourth proportional to 15,253.38, 22,871.97 and 7,854.84 is: 11,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,253.38 : 22,871.97 = 7,854.84 : x
  2. Step 2: Convert to fraction form
    15,253.38/22,871.97 = 7,854.84/x
  3. Step 3: Cross multiply
    15,253.38x = 22,871.97 × 7,854.84
  4. Step 4: Simplify right side
    15,253.38x = 179,655,664.83
  5. Step 5: Solve for x
    x = 179,655,664.83/15,253.38
  6. Step 6: Final answer
    x = 11,778.09

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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.