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Finding the Fourth Proportional to 17,134.86, 25,706.44 and 5,448.12

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Solution

The fourth proportional to 17,134.86, 25,706.44 and 5,448.12 is: 8,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.86 : 25,706.44 = 5,448.12 : x
  2. Step 2: Convert to fraction form
    17,134.86/25,706.44 = 5,448.12/x
  3. Step 3: Cross multiply
    17,134.86x = 25,706.44 × 5,448.12
  4. Step 4: Simplify right side
    17,134.86x = 140,051,769.89
  5. Step 5: Solve for x
    x = 140,051,769.89/17,134.86
  6. Step 6: Final answer
    x = 8,173.50

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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.