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Finding the Fourth Proportional to 18,243.50, 27,368.94 and 6,557.66

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Solution

The fourth proportional to 18,243.50, 27,368.94 and 6,557.66 is: 9,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243.50 : 27,368.94 = 6,557.66 : x
  2. Step 2: Convert to fraction form
    18,243.50/27,368.94 = 6,557.66/x
  3. Step 3: Cross multiply
    18,243.50x = 27,368.94 × 6,557.66
  4. Step 4: Simplify right side
    18,243.50x = 179,476,203.08
  5. Step 5: Solve for x
    x = 179,476,203.08/18,243.50
  6. Step 6: Final answer
    x = 9,837.82

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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.