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Finding the Fourth Proportional to 21,140.97, 31,708.71 and 7,991.63

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Solution

The fourth proportional to 21,140.97, 31,708.71 and 7,991.63 is: 11,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.97 : 31,708.71 = 7,991.63 : x
  2. Step 2: Convert to fraction form
    21,140.97/31,708.71 = 7,991.63/x
  3. Step 3: Cross multiply
    21,140.97x = 31,708.71 × 7,991.63
  4. Step 4: Simplify right side
    21,140.97x = 253,404,119.55
  5. Step 5: Solve for x
    x = 253,404,119.55/21,140.97
  6. Step 6: Final answer
    x = 11,986.40

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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.