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Finding the Fourth Proportional to 20,218.70, 27,902.64 and 11,266.18

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Solution

The fourth proportional to 20,218.70, 27,902.64 and 11,266.18 is: 15,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.70 : 27,902.64 = 11,266.18 : x
  2. Step 2: Convert to fraction form
    20,218.70/27,902.64 = 11,266.18/x
  3. Step 3: Cross multiply
    20,218.70x = 27,902.64 × 11,266.18
  4. Step 4: Simplify right side
    20,218.70x = 314,356,164.72
  5. Step 5: Solve for x
    x = 314,356,164.72/20,218.70
  6. Step 6: Final answer
    x = 15,547.79

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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.