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Finding the Fourth Proportional to 16,282.74, 22,470.38 and 9,113.10

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Solution

The fourth proportional to 16,282.74, 22,470.38 and 9,113.10 is: 12,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.74 : 22,470.38 = 9,113.10 : x
  2. Step 2: Convert to fraction form
    16,282.74/22,470.38 = 9,113.10/x
  3. Step 3: Cross multiply
    16,282.74x = 22,470.38 × 9,113.10
  4. Step 4: Simplify right side
    16,282.74x = 204,774,819.98
  5. Step 5: Solve for x
    x = 204,774,819.98/16,282.74
  6. Step 6: Final answer
    x = 12,576.19

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Why These Related Problems?

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