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Finding the Fourth Proportional to 12,087.96, 16,689.12 and 10,826.78

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Solution

The fourth proportional to 12,087.96, 16,689.12 and 10,826.78 is: 14,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.96 : 16,689.12 = 10,826.78 : x
  2. Step 2: Convert to fraction form
    12,087.96/16,689.12 = 10,826.78/x
  3. Step 3: Cross multiply
    12,087.96x = 16,689.12 × 10,826.78
  4. Step 4: Simplify right side
    12,087.96x = 180,689,430.63
  5. Step 5: Solve for x
    x = 180,689,430.63/12,087.96
  6. Step 6: Final answer
    x = 14,947.88

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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.