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Finding the Fourth Proportional to 26,275, 36,259.38 and 14,338.30

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Solution

The fourth proportional to 26,275, 36,259.38 and 14,338.30 is: 19,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,275 : 36,259.38 = 14,338.30 : x
  2. Step 2: Convert to fraction form
    26,275/36,259.38 = 14,338.30/x
  3. Step 3: Cross multiply
    26,275x = 36,259.38 × 14,338.30
  4. Step 4: Simplify right side
    26,275x = 519,897,868.25
  5. Step 5: Solve for x
    x = 519,897,868.25/26,275
  6. Step 6: Final answer
    x = 19,786.79

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1.5x scale

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.