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Finding the Fourth Proportional to 15,836.26, 23,761.29 and 7,522.15

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Solution

The fourth proportional to 15,836.26, 23,761.29 and 7,522.15 is: 11,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.26 : 23,761.29 = 7,522.15 : x
  2. Step 2: Convert to fraction form
    15,836.26/23,761.29 = 7,522.15/x
  3. Step 3: Cross multiply
    15,836.26x = 23,761.29 × 7,522.15
  4. Step 4: Simplify right side
    15,836.26x = 178,735,868.77
  5. Step 5: Solve for x
    x = 178,735,868.77/15,836.26
  6. Step 6: Final answer
    x = 11,286.50

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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.