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Finding the Fourth Proportional to 21,253.25, 31,879.17 and 11,411.75

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Solution

The fourth proportional to 21,253.25, 31,879.17 and 11,411.75 is: 17,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.25 : 31,879.17 = 11,411.75 : x
  2. Step 2: Convert to fraction form
    21,253.25/31,879.17 = 11,411.75/x
  3. Step 3: Cross multiply
    21,253.25x = 31,879.17 × 11,411.75
  4. Step 4: Simplify right side
    21,253.25x = 363,797,197.95
  5. Step 5: Solve for x
    x = 363,797,197.95/21,253.25
  6. Step 6: Final answer
    x = 17,117.25

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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.