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Finding the Fourth Proportional to 15,882.98, 23,824.02 and 4,196.24

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Solution

The fourth proportional to 15,882.98, 23,824.02 and 4,196.24 is: 6,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.98 : 23,824.02 = 4,196.24 : x
  2. Step 2: Convert to fraction form
    15,882.98/23,824.02 = 4,196.24/x
  3. Step 3: Cross multiply
    15,882.98x = 23,824.02 × 4,196.24
  4. Step 4: Simplify right side
    15,882.98x = 99,971,305.68
  5. Step 5: Solve for x
    x = 99,971,305.68/15,882.98
  6. Step 6: Final answer
    x = 6,294.24

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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.