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Finding the Fourth Proportional to 20,285.31, 27,995.04 and 11,332.86

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Solution

The fourth proportional to 20,285.31, 27,995.04 and 11,332.86 is: 15,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.31 : 27,995.04 = 11,332.86 : x
  2. Step 2: Convert to fraction form
    20,285.31/27,995.04 = 11,332.86/x
  3. Step 3: Cross multiply
    20,285.31x = 27,995.04 × 11,332.86
  4. Step 4: Simplify right side
    20,285.31x = 317,263,953.38
  5. Step 5: Solve for x
    x = 317,263,953.38/20,285.31
  6. Step 6: Final answer
    x = 15,640.08

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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.