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Finding the Fourth Proportional to 20,083.08, 27,712 and 11,585.52

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Solution

The fourth proportional to 20,083.08, 27,712 and 11,585.52 is: 15,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.08 : 27,712 = 11,585.52 : x
  2. Step 2: Convert to fraction form
    20,083.08/27,712 = 11,585.52/x
  3. Step 3: Cross multiply
    20,083.08x = 27,712 × 11,585.52
  4. Step 4: Simplify right side
    20,083.08x = 321,057,930.24
  5. Step 5: Solve for x
    x = 321,057,930.24/20,083.08
  6. Step 6: Final answer
    x = 15,986.49

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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.