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Finding the Fourth Proportional to 21,067.40, 31,601.64 and 9,971.48

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Solution

The fourth proportional to 21,067.40, 31,601.64 and 9,971.48 is: 14,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067.40 : 31,601.64 = 9,971.48 : x
  2. Step 2: Convert to fraction form
    21,067.40/31,601.64 = 9,971.48/x
  3. Step 3: Cross multiply
    21,067.40x = 31,601.64 × 9,971.48
  4. Step 4: Simplify right side
    21,067.40x = 315,115,121.23
  5. Step 5: Solve for x
    x = 315,115,121.23/21,067.40
  6. Step 6: Final answer
    x = 14,957.48

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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.