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Finding the Fourth Proportional to 17,096.00, 25,643.99 and 5,410.13

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Solution

The fourth proportional to 17,096.00, 25,643.99 and 5,410.13 is: 8,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.00 : 25,643.99 = 5,410.13 : x
  2. Step 2: Convert to fraction form
    17,096.00/25,643.99 = 5,410.13/x
  3. Step 3: Cross multiply
    17,096.00x = 25,643.99 × 5,410.13
  4. Step 4: Simplify right side
    17,096.00x = 138,737,204.92
  5. Step 5: Solve for x
    x = 138,737,204.92/17,096.00
  6. Step 6: Final answer
    x = 8,115.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.