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Finding the Fourth Proportional to 13,061.44, 19,618.68 and 11,536

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Solution

The fourth proportional to 13,061.44, 19,618.68 and 11,536 is: 17,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.44 : 19,618.68 = 11,536 : x
  2. Step 2: Convert to fraction form
    13,061.44/19,618.68 = 11,536/x
  3. Step 3: Cross multiply
    13,061.44x = 19,618.68 × 11,536
  4. Step 4: Simplify right side
    13,061.44x = 226,321,092.48
  5. Step 5: Solve for x
    x = 226,321,092.48/13,061.44
  6. Step 6: Final answer
    x = 17,327.42

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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.