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Finding the Fourth Proportional to 20,227.24, 27,913.30 and 11,275.40

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Solution

The fourth proportional to 20,227.24, 27,913.30 and 11,275.40 is: 15,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.24 : 27,913.30 = 11,275.40 : x
  2. Step 2: Convert to fraction form
    20,227.24/27,913.30 = 11,275.40/x
  3. Step 3: Cross multiply
    20,227.24x = 27,913.30 × 11,275.40
  4. Step 4: Simplify right side
    20,227.24x = 314,733,622.82
  5. Step 5: Solve for x
    x = 314,733,622.82/20,227.24
  6. Step 6: Final answer
    x = 15,559.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.