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Finding the Fourth Proportional to 20,160.70, 27,823.47 and 11,209.93

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Solution

The fourth proportional to 20,160.70, 27,823.47 and 11,209.93 is: 15,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.70 : 27,823.47 = 11,209.93 : x
  2. Step 2: Convert to fraction form
    20,160.70/27,823.47 = 11,209.93/x
  3. Step 3: Cross multiply
    20,160.70x = 27,823.47 × 11,209.93
  4. Step 4: Simplify right side
    20,160.70x = 311,899,039.46
  5. Step 5: Solve for x
    x = 311,899,039.46/20,160.70
  6. Step 6: Final answer
    x = 15,470.65

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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.