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Finding the Fourth Proportional to 20,057.51, 27,680.39 and 11,106

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Solution

The fourth proportional to 20,057.51, 27,680.39 and 11,106 is: 15,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.51 : 27,680.39 = 11,106 : x
  2. Step 2: Convert to fraction form
    20,057.51/27,680.39 = 11,106/x
  3. Step 3: Cross multiply
    20,057.51x = 27,680.39 × 11,106
  4. Step 4: Simplify right side
    20,057.51x = 307,418,355.81
  5. Step 5: Solve for x
    x = 307,418,355.81/20,057.51
  6. Step 6: Final answer
    x = 15,326.85

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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.