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Finding the Fourth Proportional to 12,131.28, 16,740.78 and 6,826.38

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Solution

The fourth proportional to 12,131.28, 16,740.78 and 6,826.38 is: 9,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.28 : 16,740.78 = 6,826.38 : x
  2. Step 2: Convert to fraction form
    12,131.28/16,740.78 = 6,826.38/x
  3. Step 3: Cross multiply
    12,131.28x = 16,740.78 × 6,826.38
  4. Step 4: Simplify right side
    12,131.28x = 114,278,925.78
  5. Step 5: Solve for x
    x = 114,278,925.78/12,131.28
  6. Step 6: Final answer
    x = 9,420.19

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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.