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Finding the Fourth Proportional to 21,692.86, 29,933.68 and 12,261.40

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Solution

The fourth proportional to 21,692.86, 29,933.68 and 12,261.40 is: 16,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.86 : 29,933.68 = 12,261.40 : x
  2. Step 2: Convert to fraction form
    21,692.86/29,933.68 = 12,261.40/x
  3. Step 3: Cross multiply
    21,692.86x = 29,933.68 × 12,261.40
  4. Step 4: Simplify right side
    21,692.86x = 367,028,823.95
  5. Step 5: Solve for x
    x = 367,028,823.95/21,692.86
  6. Step 6: Final answer
    x = 16,919.34

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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.