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Finding the Fourth Proportional to 13,692.66, 20,534.89 and 7,115.26

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Solution

The fourth proportional to 13,692.66, 20,534.89 and 7,115.26 is: 10,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.66 : 20,534.89 = 7,115.26 : x
  2. Step 2: Convert to fraction form
    13,692.66/20,534.89 = 7,115.26/x
  3. Step 3: Cross multiply
    13,692.66x = 20,534.89 × 7,115.26
  4. Step 4: Simplify right side
    13,692.66x = 146,111,081.42
  5. Step 5: Solve for x
    x = 146,111,081.42/13,692.66
  6. Step 6: Final answer
    x = 10,670.76

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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.