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Finding the Fourth Proportional to 21,141.33, 31,702.41 and 7,984.37

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Solution

The fourth proportional to 21,141.33, 31,702.41 and 7,984.37 is: 11,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.33 : 31,702.41 = 7,984.37 : x
  2. Step 2: Convert to fraction form
    21,141.33/31,702.41 = 7,984.37/x
  3. Step 3: Cross multiply
    21,141.33x = 31,702.41 × 7,984.37
  4. Step 4: Simplify right side
    21,141.33x = 253,123,612.82
  5. Step 5: Solve for x
    x = 253,123,612.82/21,141.33
  6. Step 6: Final answer
    x = 11,972.93

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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.