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Finding the Fourth Proportional to 17,049, 25,565.44 and 5,954.36

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Solution

The fourth proportional to 17,049, 25,565.44 and 5,954.36 is: 8,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049 : 25,565.44 = 5,954.36 : x
  2. Step 2: Convert to fraction form
    17,049/25,565.44 = 5,954.36/x
  3. Step 3: Cross multiply
    17,049x = 25,565.44 × 5,954.36
  4. Step 4: Simplify right side
    17,049x = 152,225,833.32
  5. Step 5: Solve for x
    x = 152,225,833.32/17,049
  6. Step 6: Final answer
    x = 8,928.73

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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.