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Finding the Fourth Proportional to 20,281.78, 27,988.68 and 11,207.11

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Solution

The fourth proportional to 20,281.78, 27,988.68 and 11,207.11 is: 15,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.78 : 27,988.68 = 11,207.11 : x
  2. Step 2: Convert to fraction form
    20,281.78/27,988.68 = 11,207.11/x
  3. Step 3: Cross multiply
    20,281.78x = 27,988.68 × 11,207.11
  4. Step 4: Simplify right side
    20,281.78x = 313,672,215.51
  5. Step 5: Solve for x
    x = 313,672,215.51/20,281.78
  6. Step 6: Final answer
    x = 15,465.71

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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.