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Finding the Fourth Proportional to 18,235.73, 27,356.52 and 7,705.86

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Solution

The fourth proportional to 18,235.73, 27,356.52 and 7,705.86 is: 11,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.73 : 27,356.52 = 7,705.86 : x
  2. Step 2: Convert to fraction form
    18,235.73/27,356.52 = 7,705.86/x
  3. Step 3: Cross multiply
    18,235.73x = 27,356.52 × 7,705.86
  4. Step 4: Simplify right side
    18,235.73x = 210,805,439.52
  5. Step 5: Solve for x
    x = 210,805,439.52/18,235.73
  6. Step 6: Final answer
    x = 11,560.02

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Why These Related Problems?

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