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Finding the Fourth Proportional to 20,032.81, 27,646.03 and 11,080.12

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Solution

The fourth proportional to 20,032.81, 27,646.03 and 11,080.12 is: 15,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.81 : 27,646.03 = 11,080.12 : x
  2. Step 2: Convert to fraction form
    20,032.81/27,646.03 = 11,080.12/x
  3. Step 3: Cross multiply
    20,032.81x = 27,646.03 × 11,080.12
  4. Step 4: Simplify right side
    20,032.81x = 306,321,279.90
  5. Step 5: Solve for x
    x = 306,321,279.90/20,032.81
  6. Step 6: Final answer
    x = 15,290.98

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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.