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Finding the Fourth Proportional to 21,102.93, 31,661.62 and 7,959.06

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Solution

The fourth proportional to 21,102.93, 31,661.62 and 7,959.06 is: 11,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.93 : 31,661.62 = 7,959.06 : x
  2. Step 2: Convert to fraction form
    21,102.93/31,661.62 = 7,959.06/x
  3. Step 3: Cross multiply
    21,102.93x = 31,661.62 × 7,959.06
  4. Step 4: Simplify right side
    21,102.93x = 251,996,713.38
  5. Step 5: Solve for x
    x = 251,996,713.38/21,102.93
  6. Step 6: Final answer
    x = 11,941.31

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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.