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Finding the Fourth Proportional to 21,005.31, 31,507.97 and 5,422.94

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Solution

The fourth proportional to 21,005.31, 31,507.97 and 5,422.94 is: 8,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.31 : 31,507.97 = 5,422.94 : x
  2. Step 2: Convert to fraction form
    21,005.31/31,507.97 = 5,422.94/x
  3. Step 3: Cross multiply
    21,005.31x = 31,507.97 × 5,422.94
  4. Step 4: Simplify right side
    21,005.31x = 170,865,830.83
  5. Step 5: Solve for x
    x = 170,865,830.83/21,005.31
  6. Step 6: Final answer
    x = 8,134.41

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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.