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Finding the Fourth Proportional to 21,174.83, 31,754.17 and 7,131.08

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Solution

The fourth proportional to 21,174.83, 31,754.17 and 7,131.08 is: 10,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.83 : 31,754.17 = 7,131.08 : x
  2. Step 2: Convert to fraction form
    21,174.83/31,754.17 = 7,131.08/x
  3. Step 3: Cross multiply
    21,174.83x = 31,754.17 × 7,131.08
  4. Step 4: Simplify right side
    21,174.83x = 226,441,588.16
  5. Step 5: Solve for x
    x = 226,441,588.16/21,174.83
  6. Step 6: Final answer
    x = 10,693.91

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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.