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Finding the Fourth Proportional to 20,078.34, 27,707.36 and 11,580.81

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Solution

The fourth proportional to 20,078.34, 27,707.36 and 11,580.81 is: 15,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.34 : 27,707.36 = 11,580.81 : x
  2. Step 2: Convert to fraction form
    20,078.34/27,707.36 = 11,580.81/x
  3. Step 3: Cross multiply
    20,078.34x = 27,707.36 × 11,580.81
  4. Step 4: Simplify right side
    20,078.34x = 320,873,475.32
  5. Step 5: Solve for x
    x = 320,873,475.32/20,078.34
  6. Step 6: Final answer
    x = 15,981.08

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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.