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Finding the Fourth Proportional to 20,101.85, 27,742.02 and 11,151.04

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Solution

The fourth proportional to 20,101.85, 27,742.02 and 11,151.04 is: 15,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.85 : 27,742.02 = 11,151.04 : x
  2. Step 2: Convert to fraction form
    20,101.85/27,742.02 = 11,151.04/x
  3. Step 3: Cross multiply
    20,101.85x = 27,742.02 × 11,151.04
  4. Step 4: Simplify right side
    20,101.85x = 309,352,374.70
  5. Step 5: Solve for x
    x = 309,352,374.70/20,101.85
  6. Step 6: Final answer
    x = 15,389.25

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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.