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Finding the Fourth Proportional to 25,764.38, 35,557.90 and 15,698.78

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Solution

The fourth proportional to 25,764.38, 35,557.90 and 15,698.78 is: 21,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764.38 : 35,557.90 = 15,698.78 : x
  2. Step 2: Convert to fraction form
    25,764.38/35,557.90 = 15,698.78/x
  3. Step 3: Cross multiply
    25,764.38x = 35,557.90 × 15,698.78
  4. Step 4: Simplify right side
    25,764.38x = 558,215,649.36
  5. Step 5: Solve for x
    x = 558,215,649.36/25,764.38
  6. Step 6: Final answer
    x = 21,666.18

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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.