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Finding the Fourth Proportional to 16,316.91, 22,519.20 and 9,148.76

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Solution

The fourth proportional to 16,316.91, 22,519.20 and 9,148.76 is: 12,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.91 : 22,519.20 = 9,148.76 : x
  2. Step 2: Convert to fraction form
    16,316.91/22,519.20 = 9,148.76/x
  3. Step 3: Cross multiply
    16,316.91x = 22,519.20 × 9,148.76
  4. Step 4: Simplify right side
    16,316.91x = 206,022,837.56
  5. Step 5: Solve for x
    x = 206,022,837.56/16,316.91
  6. Step 6: Final answer
    x = 12,626.34

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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.