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Finding the Fourth Proportional to 21,253.22, 31,881.14 and 6,463.23

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Solution

The fourth proportional to 21,253.22, 31,881.14 and 6,463.23 is: 9,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.22 : 31,881.14 = 6,463.23 : x
  2. Step 2: Convert to fraction form
    21,253.22/31,881.14 = 6,463.23/x
  3. Step 3: Cross multiply
    21,253.22x = 31,881.14 × 6,463.23
  4. Step 4: Simplify right side
    21,253.22x = 206,055,049.20
  5. Step 5: Solve for x
    x = 206,055,049.20/21,253.22
  6. Step 6: Final answer
    x = 9,695.24

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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.