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Finding the Fourth Proportional to 20,026.84, 27,636.60 and 11,074

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Solution

The fourth proportional to 20,026.84, 27,636.60 and 11,074 is: 15,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.84 : 27,636.60 = 11,074 : x
  2. Step 2: Convert to fraction form
    20,026.84/27,636.60 = 11,074/x
  3. Step 3: Cross multiply
    20,026.84x = 27,636.60 × 11,074
  4. Step 4: Simplify right side
    20,026.84x = 306,047,708.40
  5. Step 5: Solve for x
    x = 306,047,708.40/20,026.84
  6. Step 6: Final answer
    x = 15,281.88

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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.