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Finding the Fourth Proportional to 14,806.19, 20,432.49 and 8,091.82

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Solution

The fourth proportional to 14,806.19, 20,432.49 and 8,091.82 is: 11,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.19 : 20,432.49 = 8,091.82 : x
  2. Step 2: Convert to fraction form
    14,806.19/20,432.49 = 8,091.82/x
  3. Step 3: Cross multiply
    14,806.19x = 20,432.49 × 8,091.82
  4. Step 4: Simplify right side
    14,806.19x = 165,335,979.77
  5. Step 5: Solve for x
    x = 165,335,979.77/14,806.19
  6. Step 6: Final answer
    x = 11,166.68

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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.