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Finding the Fourth Proportional to 17,184.46, 25,783.08 and 5,498.59

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Solution

The fourth proportional to 17,184.46, 25,783.08 and 5,498.59 is: 8,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.46 : 25,783.08 = 5,498.59 : x
  2. Step 2: Convert to fraction form
    17,184.46/25,783.08 = 5,498.59/x
  3. Step 3: Cross multiply
    17,184.46x = 25,783.08 × 5,498.59
  4. Step 4: Simplify right side
    17,184.46x = 141,770,585.86
  5. Step 5: Solve for x
    x = 141,770,585.86/17,184.46
  6. Step 6: Final answer
    x = 8,249.93

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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.