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Finding the Fourth Proportional to 19,977.16, 27,568.16 and 10,902.44

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Solution

The fourth proportional to 19,977.16, 27,568.16 and 10,902.44 is: 15,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.16 : 27,568.16 = 10,902.44 : x
  2. Step 2: Convert to fraction form
    19,977.16/27,568.16 = 10,902.44/x
  3. Step 3: Cross multiply
    19,977.16x = 27,568.16 × 10,902.44
  4. Step 4: Simplify right side
    19,977.16x = 300,560,210.31
  5. Step 5: Solve for x
    x = 300,560,210.31/19,977.16
  6. Step 6: Final answer
    x = 15,045.19

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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.