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Finding the Fourth Proportional to 12,340.32, 17,020.04 and 8,086.72

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Solution

The fourth proportional to 12,340.32, 17,020.04 and 8,086.72 is: 11,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.32 : 17,020.04 = 8,086.72 : x
  2. Step 2: Convert to fraction form
    12,340.32/17,020.04 = 8,086.72/x
  3. Step 3: Cross multiply
    12,340.32x = 17,020.04 × 8,086.72
  4. Step 4: Simplify right side
    12,340.32x = 137,636,297.87
  5. Step 5: Solve for x
    x = 137,636,297.87/12,340.32
  6. Step 6: Final answer
    x = 11,153.38

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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.