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Finding the Fourth Proportional to 25,807.62, 35,616.87 and 15,736.62

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Solution

The fourth proportional to 25,807.62, 35,616.87 and 15,736.62 is: 21,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.62 : 35,616.87 = 15,736.62 : x
  2. Step 2: Convert to fraction form
    25,807.62/35,616.87 = 15,736.62/x
  3. Step 3: Cross multiply
    25,807.62x = 35,616.87 × 15,736.62
  4. Step 4: Simplify right side
    25,807.62x = 560,489,148.78
  5. Step 5: Solve for x
    x = 560,489,148.78/25,807.62
  6. Step 6: Final answer
    x = 21,717.97

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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.