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Finding the Fourth Proportional to 16,411.06, 22,676.88 and 11,687.14

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Solution

The fourth proportional to 16,411.06, 22,676.88 and 11,687.14 is: 16,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.06 : 22,676.88 = 11,687.14 : x
  2. Step 2: Convert to fraction form
    16,411.06/22,676.88 = 11,687.14/x
  3. Step 3: Cross multiply
    16,411.06x = 22,676.88 × 11,687.14
  4. Step 4: Simplify right side
    16,411.06x = 265,027,871.32
  5. Step 5: Solve for x
    x = 265,027,871.32/16,411.06
  6. Step 6: Final answer
    x = 16,149.35

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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.