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Finding the Fourth Proportional to 21,116.94, 31,642.56 and 7,962.12

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Solution

The fourth proportional to 21,116.94, 31,642.56 and 7,962.12 is: 11,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.94 : 31,642.56 = 7,962.12 : x
  2. Step 2: Convert to fraction form
    21,116.94/31,642.56 = 7,962.12/x
  3. Step 3: Cross multiply
    21,116.94x = 31,642.56 × 7,962.12
  4. Step 4: Simplify right side
    21,116.94x = 251,941,859.83
  5. Step 5: Solve for x
    x = 251,941,859.83/21,116.94
  6. Step 6: Final answer
    x = 11,930.79

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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.