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Finding the Fourth Proportional to 15,697.80, 23,538.87 and 5,022.68

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Solution

The fourth proportional to 15,697.80, 23,538.87 and 5,022.68 is: 7,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.80 : 23,538.87 = 5,022.68 : x
  2. Step 2: Convert to fraction form
    15,697.80/23,538.87 = 5,022.68/x
  3. Step 3: Cross multiply
    15,697.80x = 23,538.87 × 5,022.68
  4. Step 4: Simplify right side
    15,697.80x = 118,228,093.88
  5. Step 5: Solve for x
    x = 118,228,093.88/15,697.80
  6. Step 6: Final answer
    x = 7,531.51

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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.