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Finding the Fourth Proportional to 19,822.35, 27,356.11 and 13,096.18

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Solution

The fourth proportional to 19,822.35, 27,356.11 and 13,096.18 is: 18,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.35 : 27,356.11 = 13,096.18 : x
  2. Step 2: Convert to fraction form
    19,822.35/27,356.11 = 13,096.18/x
  3. Step 3: Cross multiply
    19,822.35x = 27,356.11 × 13,096.18
  4. Step 4: Simplify right side
    19,822.35x = 358,260,439.53
  5. Step 5: Solve for x
    x = 358,260,439.53/19,822.35
  6. Step 6: Final answer
    x = 18,073.56

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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.