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Finding the Fourth Proportional to 19,692.90, 29,527.44 and 7,848.49

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Solution

The fourth proportional to 19,692.90, 29,527.44 and 7,848.49 is: 11,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.90 : 29,527.44 = 7,848.49 : x
  2. Step 2: Convert to fraction form
    19,692.90/29,527.44 = 7,848.49/x
  3. Step 3: Cross multiply
    19,692.90x = 29,527.44 × 7,848.49
  4. Step 4: Simplify right side
    19,692.90x = 231,745,817.57
  5. Step 5: Solve for x
    x = 231,745,817.57/19,692.90
  6. Step 6: Final answer
    x = 11,767.99

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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.