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Finding the Fourth Proportional to 27,274.32, 40,919.28 and 11,471.28

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Solution

The fourth proportional to 27,274.32, 40,919.28 and 11,471.28 is: 17,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274.32 : 40,919.28 = 11,471.28 : x
  2. Step 2: Convert to fraction form
    27,274.32/40,919.28 = 11,471.28/x
  3. Step 3: Cross multiply
    27,274.32x = 40,919.28 × 11,471.28
  4. Step 4: Simplify right side
    27,274.32x = 469,396,518.28
  5. Step 5: Solve for x
    x = 469,396,518.28/27,274.32
  6. Step 6: Final answer
    x = 17,210.20

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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.