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Finding the Fourth Proportional to 21,011.94, 31,517.82 and 5,429.52

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Solution

The fourth proportional to 21,011.94, 31,517.82 and 5,429.52 is: 8,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.94 : 31,517.82 = 5,429.52 : x
  2. Step 2: Convert to fraction form
    21,011.94/31,517.82 = 5,429.52/x
  3. Step 3: Cross multiply
    21,011.94x = 31,517.82 × 5,429.52
  4. Step 4: Simplify right side
    21,011.94x = 171,126,634.05
  5. Step 5: Solve for x
    x = 171,126,634.05/21,011.94
  6. Step 6: Final answer
    x = 8,144.26

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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.