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Finding the Fourth Proportional to 16,095.46, 22,213.12 and 9,023.24

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Solution

The fourth proportional to 16,095.46, 22,213.12 and 9,023.24 is: 12,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.46 : 22,213.12 = 9,023.24 : x
  2. Step 2: Convert to fraction form
    16,095.46/22,213.12 = 9,023.24/x
  3. Step 3: Cross multiply
    16,095.46x = 22,213.12 × 9,023.24
  4. Step 4: Simplify right side
    16,095.46x = 200,434,312.91
  5. Step 5: Solve for x
    x = 200,434,312.91/16,095.46
  6. Step 6: Final answer
    x = 12,452.85

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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.