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Finding the Fourth Proportional to 12,050.38, 16,633.08 and 7,016.84

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Solution

The fourth proportional to 12,050.38, 16,633.08 and 7,016.84 is: 9,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050.38 : 16,633.08 = 7,016.84 : x
  2. Step 2: Convert to fraction form
    12,050.38/16,633.08 = 7,016.84/x
  3. Step 3: Cross multiply
    12,050.38x = 16,633.08 × 7,016.84
  4. Step 4: Simplify right side
    12,050.38x = 116,711,640.28
  5. Step 5: Solve for x
    x = 116,711,640.28/12,050.38
  6. Step 6: Final answer
    x = 9,685.31

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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.