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Finding the Fourth Proportional to 20,078.40, 27,707.45 and 11,580.88

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Solution

The fourth proportional to 20,078.40, 27,707.45 and 11,580.88 is: 15,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.40 : 27,707.45 = 11,580.88 : x
  2. Step 2: Convert to fraction form
    20,078.40/27,707.45 = 11,580.88/x
  3. Step 3: Cross multiply
    20,078.40x = 27,707.45 × 11,580.88
  4. Step 4: Simplify right side
    20,078.40x = 320,876,605.83
  5. Step 5: Solve for x
    x = 320,876,605.83/20,078.40
  6. Step 6: Final answer
    x = 15,981.19

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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.