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Finding the Fourth Proportional to 12,202.52, 16,823.18 and 9,692.93

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Solution

The fourth proportional to 12,202.52, 16,823.18 and 9,692.93 is: 13,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.52 : 16,823.18 = 9,692.93 : x
  2. Step 2: Convert to fraction form
    12,202.52/16,823.18 = 9,692.93/x
  3. Step 3: Cross multiply
    12,202.52x = 16,823.18 × 9,692.93
  4. Step 4: Simplify right side
    12,202.52x = 163,065,773.54
  5. Step 5: Solve for x
    x = 163,065,773.54/12,202.52
  6. Step 6: Final answer
    x = 13,363.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.