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Finding the Fourth Proportional to 12,446.68, 17,180.04 and 8,140.38

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Solution

The fourth proportional to 12,446.68, 17,180.04 and 8,140.38 is: 11,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.68 : 17,180.04 = 8,140.38 : x
  2. Step 2: Convert to fraction form
    12,446.68/17,180.04 = 8,140.38/x
  3. Step 3: Cross multiply
    12,446.68x = 17,180.04 × 8,140.38
  4. Step 4: Simplify right side
    12,446.68x = 139,852,063.34
  5. Step 5: Solve for x
    x = 139,852,063.34/12,446.68
  6. Step 6: Final answer
    x = 11,236.10

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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.