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Finding the Fourth Proportional to 20,713.71, 28,584.65 and 11,282.27

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Solution

The fourth proportional to 20,713.71, 28,584.65 and 11,282.27 is: 15,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.71 : 28,584.65 = 11,282.27 : x
  2. Step 2: Convert to fraction form
    20,713.71/28,584.65 = 11,282.27/x
  3. Step 3: Cross multiply
    20,713.71x = 28,584.65 × 11,282.27
  4. Step 4: Simplify right side
    20,713.71x = 322,499,838.82
  5. Step 5: Solve for x
    x = 322,499,838.82/20,713.71
  6. Step 6: Final answer
    x = 15,569.39

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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.