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Finding the Fourth Proportional to 16,098.08, 22,213.86 and 9,023

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Solution

The fourth proportional to 16,098.08, 22,213.86 and 9,023 is: 12,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.08 : 22,213.86 = 9,023 : x
  2. Step 2: Convert to fraction form
    16,098.08/22,213.86 = 9,023/x
  3. Step 3: Cross multiply
    16,098.08x = 22,213.86 × 9,023
  4. Step 4: Simplify right side
    16,098.08x = 200,435,658.78
  5. Step 5: Solve for x
    x = 200,435,658.78/16,098.08
  6. Step 6: Final answer
    x = 12,450.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.