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Finding the Fourth Proportional to 15,710.70, 23,546.61 and 7,915.26

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Solution

The fourth proportional to 15,710.70, 23,546.61 and 7,915.26 is: 11,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.70 : 23,546.61 = 7,915.26 : x
  2. Step 2: Convert to fraction form
    15,710.70/23,546.61 = 7,915.26/x
  3. Step 3: Cross multiply
    15,710.70x = 23,546.61 × 7,915.26
  4. Step 4: Simplify right side
    15,710.70x = 186,377,540.27
  5. Step 5: Solve for x
    x = 186,377,540.27/15,710.70
  6. Step 6: Final answer
    x = 11,863.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.