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Finding the Fourth Proportional to 25,709.74, 35,473.68 and 16,272.82

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Solution

The fourth proportional to 25,709.74, 35,473.68 and 16,272.82 is: 22,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.74 : 35,473.68 = 16,272.82 : x
  2. Step 2: Convert to fraction form
    25,709.74/35,473.68 = 16,272.82/x
  3. Step 3: Cross multiply
    25,709.74x = 35,473.68 × 16,272.82
  4. Step 4: Simplify right side
    25,709.74x = 577,256,809.38
  5. Step 5: Solve for x
    x = 577,256,809.38/25,709.74
  6. Step 6: Final answer
    x = 22,452.85

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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.