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Finding the Fourth Proportional to 23,761.26, 35,639.80 and 7,125

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Solution

The fourth proportional to 23,761.26, 35,639.80 and 7,125 is: 10,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.26 : 35,639.80 = 7,125 : x
  2. Step 2: Convert to fraction form
    23,761.26/35,639.80 = 7,125/x
  3. Step 3: Cross multiply
    23,761.26x = 35,639.80 × 7,125
  4. Step 4: Simplify right side
    23,761.26x = 253,933,575.00
  5. Step 5: Solve for x
    x = 253,933,575.00/23,761.26
  6. Step 6: Final answer
    x = 10,686.87

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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.