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Finding the Fourth Proportional to 21,537.27, 32,305.95 and 6,747.48

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Solution

The fourth proportional to 21,537.27, 32,305.95 and 6,747.48 is: 10,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.27 : 32,305.95 = 6,747.48 : x
  2. Step 2: Convert to fraction form
    21,537.27/32,305.95 = 6,747.48/x
  3. Step 3: Cross multiply
    21,537.27x = 32,305.95 × 6,747.48
  4. Step 4: Simplify right side
    21,537.27x = 217,983,751.51
  5. Step 5: Solve for x
    x = 217,983,751.51/21,537.27
  6. Step 6: Final answer
    x = 10,121.23

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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.