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Finding the Fourth Proportional to 21,322.25, 31,960.88 and 7,986.54

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Solution

The fourth proportional to 21,322.25, 31,960.88 and 7,986.54 is: 11,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.25 : 31,960.88 = 7,986.54 : x
  2. Step 2: Convert to fraction form
    21,322.25/31,960.88 = 7,986.54/x
  3. Step 3: Cross multiply
    21,322.25x = 31,960.88 × 7,986.54
  4. Step 4: Simplify right side
    21,322.25x = 255,256,900.23
  5. Step 5: Solve for x
    x = 255,256,900.23/21,322.25
  6. Step 6: Final answer
    x = 11,971.39

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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.