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Finding the Fourth Proportional to 20,160.74, 27,820.25 and 11,207.70

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Solution

The fourth proportional to 20,160.74, 27,820.25 and 11,207.70 is: 15,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.74 : 27,820.25 = 11,207.70 : x
  2. Step 2: Convert to fraction form
    20,160.74/27,820.25 = 11,207.70/x
  3. Step 3: Cross multiply
    20,160.74x = 27,820.25 × 11,207.70
  4. Step 4: Simplify right side
    20,160.74x = 311,801,001.92
  5. Step 5: Solve for x
    x = 311,801,001.92/20,160.74
  6. Step 6: Final answer
    x = 15,465.75

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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.