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Finding the Fourth Proportional to 11,205.38, 15,470.08 and 9,959.82

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Solution

The fourth proportional to 11,205.38, 15,470.08 and 9,959.82 is: 13,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.38 : 15,470.08 = 9,959.82 : x
  2. Step 2: Convert to fraction form
    11,205.38/15,470.08 = 9,959.82/x
  3. Step 3: Cross multiply
    11,205.38x = 15,470.08 × 9,959.82
  4. Step 4: Simplify right side
    11,205.38x = 154,079,212.19
  5. Step 5: Solve for x
    x = 154,079,212.19/11,205.38
  6. Step 6: Final answer
    x = 13,750.47

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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.