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Finding the Fourth Proportional to 16,197.90, 24,299.16 and 5,105.46

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Solution

The fourth proportional to 16,197.90, 24,299.16 and 5,105.46 is: 7,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.90 : 24,299.16 = 5,105.46 : x
  2. Step 2: Convert to fraction form
    16,197.90/24,299.16 = 5,105.46/x
  3. Step 3: Cross multiply
    16,197.90x = 24,299.16 × 5,105.46
  4. Step 4: Simplify right side
    16,197.90x = 124,058,389.41
  5. Step 5: Solve for x
    x = 124,058,389.41/16,197.90
  6. Step 6: Final answer
    x = 7,658.92

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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.