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Finding the Fourth Proportional to 16,801.29, 25,132.64 and 13,806

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Solution

The fourth proportional to 16,801.29, 25,132.64 and 13,806 is: 20,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.29 : 25,132.64 = 13,806 : x
  2. Step 2: Convert to fraction form
    16,801.29/25,132.64 = 13,806/x
  3. Step 3: Cross multiply
    16,801.29x = 25,132.64 × 13,806
  4. Step 4: Simplify right side
    16,801.29x = 346,981,158.81
  5. Step 5: Solve for x
    x = 346,981,158.81/16,801.29
  6. Step 6: Final answer
    x = 20,652.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.