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Finding the Fourth Proportional to 25,767.72, 35,560.62 and 20,169

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Solution

The fourth proportional to 25,767.72, 35,560.62 and 20,169 is: 27,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767.72 : 35,560.62 = 20,169 : x
  2. Step 2: Convert to fraction form
    25,767.72/35,560.62 = 20,169/x
  3. Step 3: Cross multiply
    25,767.72x = 35,560.62 × 20,169
  4. Step 4: Simplify right side
    25,767.72x = 717,222,144.78
  5. Step 5: Solve for x
    x = 717,222,144.78/25,767.72
  6. Step 6: Final answer
    x = 27,834.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.