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Finding the Fourth Proportional to 16,535.65, 22,806 and 10,876.21

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Solution

The fourth proportional to 16,535.65, 22,806 and 10,876.21 is: 15,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.65 : 22,806 = 10,876.21 : x
  2. Step 2: Convert to fraction form
    16,535.65/22,806 = 10,876.21/x
  3. Step 3: Cross multiply
    16,535.65x = 22,806 × 10,876.21
  4. Step 4: Simplify right side
    16,535.65x = 248,042,788.25
  5. Step 5: Solve for x
    x = 248,042,788.25/16,535.65
  6. Step 6: Final answer
    x = 15,000.49

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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.