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Finding the Fourth Proportional to 14,036, 19,369.44 and 7,748.24

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Solution

The fourth proportional to 14,036, 19,369.44 and 7,748.24 is: 10,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036 : 19,369.44 = 7,748.24 : x
  2. Step 2: Convert to fraction form
    14,036/19,369.44 = 7,748.24/x
  3. Step 3: Cross multiply
    14,036x = 19,369.44 × 7,748.24
  4. Step 4: Simplify right side
    14,036x = 150,079,069.79
  5. Step 5: Solve for x
    x = 150,079,069.79/14,036
  6. Step 6: Final answer
    x = 10,692.44

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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.