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Finding the Fourth Proportional to 18,116.75, 27,177.56 and 7,730.93

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Solution

The fourth proportional to 18,116.75, 27,177.56 and 7,730.93 is: 11,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116.75 : 27,177.56 = 7,730.93 : x
  2. Step 2: Convert to fraction form
    18,116.75/27,177.56 = 7,730.93/x
  3. Step 3: Cross multiply
    18,116.75x = 27,177.56 × 7,730.93
  4. Step 4: Simplify right side
    18,116.75x = 210,107,813.93
  5. Step 5: Solve for x
    x = 210,107,813.93/18,116.75
  6. Step 6: Final answer
    x = 11,597.43

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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.