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Finding the Fourth Proportional to 21,538.98, 32,311.71 and 6,745.95

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Solution

The fourth proportional to 21,538.98, 32,311.71 and 6,745.95 is: 10,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.98 : 32,311.71 = 6,745.95 : x
  2. Step 2: Convert to fraction form
    21,538.98/32,311.71 = 6,745.95/x
  3. Step 3: Cross multiply
    21,538.98x = 32,311.71 × 6,745.95
  4. Step 4: Simplify right side
    21,538.98x = 217,973,180.07
  5. Step 5: Solve for x
    x = 217,973,180.07/21,538.98
  6. Step 6: Final answer
    x = 10,119.94

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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.