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Finding the Fourth Proportional to 21,692.40, 29,938.65 and 12,744.78

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Solution

The fourth proportional to 21,692.40, 29,938.65 and 12,744.78 is: 17,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.40 : 29,938.65 = 12,744.78 : x
  2. Step 2: Convert to fraction form
    21,692.40/29,938.65 = 12,744.78/x
  3. Step 3: Cross multiply
    21,692.40x = 29,938.65 × 12,744.78
  4. Step 4: Simplify right side
    21,692.40x = 381,561,507.75
  5. Step 5: Solve for x
    x = 381,561,507.75/21,692.40
  6. Step 6: Final answer
    x = 17,589.64

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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.