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Finding the Fourth Proportional to 17,938.64, 26,908.06 and 6,251.80

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Solution

The fourth proportional to 17,938.64, 26,908.06 and 6,251.80 is: 9,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938.64 : 26,908.06 = 6,251.80 : x
  2. Step 2: Convert to fraction form
    17,938.64/26,908.06 = 6,251.80/x
  3. Step 3: Cross multiply
    17,938.64x = 26,908.06 × 6,251.80
  4. Step 4: Simplify right side
    17,938.64x = 168,223,809.51
  5. Step 5: Solve for x
    x = 168,223,809.51/17,938.64
  6. Step 6: Final answer
    x = 9,377.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.