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Finding the Fourth Proportional to 21,116.93, 31,642.56 and 7,962.13

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Solution

The fourth proportional to 21,116.93, 31,642.56 and 7,962.13 is: 11,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.93 : 31,642.56 = 7,962.13 : x
  2. Step 2: Convert to fraction form
    21,116.93/31,642.56 = 7,962.13/x
  3. Step 3: Cross multiply
    21,116.93x = 31,642.56 × 7,962.13
  4. Step 4: Simplify right side
    21,116.93x = 251,942,176.25
  5. Step 5: Solve for x
    x = 251,942,176.25/21,116.93
  6. Step 6: Final answer
    x = 11,930.81

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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.