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Finding the Fourth Proportional to 21,826, 30,118.46 and 12,871.45

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Solution

The fourth proportional to 21,826, 30,118.46 and 12,871.45 is: 17,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826 : 30,118.46 = 12,871.45 : x
  2. Step 2: Convert to fraction form
    21,826/30,118.46 = 12,871.45/x
  3. Step 3: Cross multiply
    21,826x = 30,118.46 × 12,871.45
  4. Step 4: Simplify right side
    21,826x = 387,668,251.97
  5. Step 5: Solve for x
    x = 387,668,251.97/21,826
  6. Step 6: Final answer
    x = 17,761.76

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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.