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Finding the Fourth Proportional to 21,692.34, 32,515.97 and 9,220.37

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Solution

The fourth proportional to 21,692.34, 32,515.97 and 9,220.37 is: 13,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.34 : 32,515.97 = 9,220.37 : x
  2. Step 2: Convert to fraction form
    21,692.34/32,515.97 = 9,220.37/x
  3. Step 3: Cross multiply
    21,692.34x = 32,515.97 × 9,220.37
  4. Step 4: Simplify right side
    21,692.34x = 299,809,065.63
  5. Step 5: Solve for x
    x = 299,809,065.63/21,692.34
  6. Step 6: Final answer
    x = 13,820.96

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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.