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Finding the Fourth Proportional to 15,704.20, 23,594.70 and 11,816.20

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Solution

The fourth proportional to 15,704.20, 23,594.70 and 11,816.20 is: 17,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.20 : 23,594.70 = 11,816.20 : x
  2. Step 2: Convert to fraction form
    15,704.20/23,594.70 = 11,816.20/x
  3. Step 3: Cross multiply
    15,704.20x = 23,594.70 × 11,816.20
  4. Step 4: Simplify right side
    15,704.20x = 278,799,694.14
  5. Step 5: Solve for x
    x = 278,799,694.14/15,704.20
  6. Step 6: Final answer
    x = 17,753.19

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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.