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Finding the Fourth Proportional to 16,263.29, 24,394.60 and 5,170

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Solution

The fourth proportional to 16,263.29, 24,394.60 and 5,170 is: 7,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.29 : 24,394.60 = 5,170 : x
  2. Step 2: Convert to fraction form
    16,263.29/24,394.60 = 5,170/x
  3. Step 3: Cross multiply
    16,263.29x = 24,394.60 × 5,170
  4. Step 4: Simplify right side
    16,263.29x = 126,120,082.00
  5. Step 5: Solve for x
    x = 126,120,082.00/16,263.29
  6. Step 6: Final answer
    x = 7,754.89

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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.