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Finding the Fourth Proportional to 15,619.68, 23,424.39 and 5,229

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Solution

The fourth proportional to 15,619.68, 23,424.39 and 5,229 is: 7,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,619.68 : 23,424.39 = 5,229 : x
  2. Step 2: Convert to fraction form
    15,619.68/23,424.39 = 5,229/x
  3. Step 3: Cross multiply
    15,619.68x = 23,424.39 × 5,229
  4. Step 4: Simplify right side
    15,619.68x = 122,486,135.31
  5. Step 5: Solve for x
    x = 122,486,135.31/15,619.68
  6. Step 6: Final answer
    x = 7,841.78

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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.