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Finding the Fourth Proportional to 18,510.94, 27,758.77 and 7,111.14

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Solution

The fourth proportional to 18,510.94, 27,758.77 and 7,111.14 is: 10,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,510.94 : 27,758.77 = 7,111.14 : x
  2. Step 2: Convert to fraction form
    18,510.94/27,758.77 = 7,111.14/x
  3. Step 3: Cross multiply
    18,510.94x = 27,758.77 × 7,111.14
  4. Step 4: Simplify right side
    18,510.94x = 197,396,551.32
  5. Step 5: Solve for x
    x = 197,396,551.32/18,510.94
  6. Step 6: Final answer
    x = 10,663.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.