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Finding the Fourth Proportional to 17,219.16, 25,827.82 and 5,531.47

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Solution

The fourth proportional to 17,219.16, 25,827.82 and 5,531.47 is: 8,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.16 : 25,827.82 = 5,531.47 : x
  2. Step 2: Convert to fraction form
    17,219.16/25,827.82 = 5,531.47/x
  3. Step 3: Cross multiply
    17,219.16x = 25,827.82 × 5,531.47
  4. Step 4: Simplify right side
    17,219.16x = 142,865,811.50
  5. Step 5: Solve for x
    x = 142,865,811.50/17,219.16
  6. Step 6: Final answer
    x = 8,296.91

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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.