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Finding the Fourth Proportional to 21,893.31, 32,836.89 and 7,102.36

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Solution

The fourth proportional to 21,893.31, 32,836.89 and 7,102.36 is: 10,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.31 : 32,836.89 = 7,102.36 : x
  2. Step 2: Convert to fraction form
    21,893.31/32,836.89 = 7,102.36/x
  3. Step 3: Cross multiply
    21,893.31x = 32,836.89 × 7,102.36
  4. Step 4: Simplify right side
    21,893.31x = 233,219,414.06
  5. Step 5: Solve for x
    x = 233,219,414.06/21,893.31
  6. Step 6: Final answer
    x = 10,652.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.