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Finding the Fourth Proportional to 21,254.17, 31,883.04 and 6,463.22

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Solution

The fourth proportional to 21,254.17, 31,883.04 and 6,463.22 is: 9,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.17 : 31,883.04 = 6,463.22 : x
  2. Step 2: Convert to fraction form
    21,254.17/31,883.04 = 6,463.22/x
  3. Step 3: Cross multiply
    21,254.17x = 31,883.04 × 6,463.22
  4. Step 4: Simplify right side
    21,254.17x = 206,067,101.79
  5. Step 5: Solve for x
    x = 206,067,101.79/21,254.17
  6. Step 6: Final answer
    x = 9,695.37

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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.