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Finding the Fourth Proportional to 16,098.85, 24,143.27 and 7,773.69

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Solution

The fourth proportional to 16,098.85, 24,143.27 and 7,773.69 is: 11,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.85 : 24,143.27 = 7,773.69 : x
  2. Step 2: Convert to fraction form
    16,098.85/24,143.27 = 7,773.69/x
  3. Step 3: Cross multiply
    16,098.85x = 24,143.27 × 7,773.69
  4. Step 4: Simplify right side
    16,098.85x = 187,682,296.57
  5. Step 5: Solve for x
    x = 187,682,296.57/16,098.85
  6. Step 6: Final answer
    x = 11,658.12

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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.