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Finding the Fourth Proportional to 23,698.42, 35,535.71 and 7,897.85

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Solution

The fourth proportional to 23,698.42, 35,535.71 and 7,897.85 is: 11,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.42 : 35,535.71 = 7,897.85 : x
  2. Step 2: Convert to fraction form
    23,698.42/35,535.71 = 7,897.85/x
  3. Step 3: Cross multiply
    23,698.42x = 35,535.71 × 7,897.85
  4. Step 4: Simplify right side
    23,698.42x = 280,655,882.44
  5. Step 5: Solve for x
    x = 280,655,882.44/23,698.42
  6. Step 6: Final answer
    x = 11,842.81

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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.