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Finding the Fourth Proportional to 21,253.66, 31,879.41 and 6,462.25

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Solution

The fourth proportional to 21,253.66, 31,879.41 and 6,462.25 is: 9,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.66 : 31,879.41 = 6,462.25 : x
  2. Step 2: Convert to fraction form
    21,253.66/31,879.41 = 6,462.25/x
  3. Step 3: Cross multiply
    21,253.66x = 31,879.41 × 6,462.25
  4. Step 4: Simplify right side
    21,253.66x = 206,012,717.27
  5. Step 5: Solve for x
    x = 206,012,717.27/21,253.66
  6. Step 6: Final answer
    x = 9,693.05

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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.