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Finding the Fourth Proportional to 15,885, 23,829.12 and 5,496.72

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Solution

The fourth proportional to 15,885, 23,829.12 and 5,496.72 is: 8,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885 : 23,829.12 = 5,496.72 : x
  2. Step 2: Convert to fraction form
    15,885/23,829.12 = 5,496.72/x
  3. Step 3: Cross multiply
    15,885x = 23,829.12 × 5,496.72
  4. Step 4: Simplify right side
    15,885x = 130,982,000.49
  5. Step 5: Solve for x
    x = 130,982,000.49/15,885
  6. Step 6: Final answer
    x = 8,245.64

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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.