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Finding the Fourth Proportional to 17,272.46, 25,900.18 and 5,584.16

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Solution

The fourth proportional to 17,272.46, 25,900.18 and 5,584.16 is: 8,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,272.46 : 25,900.18 = 5,584.16 : x
  2. Step 2: Convert to fraction form
    17,272.46/25,900.18 = 5,584.16/x
  3. Step 3: Cross multiply
    17,272.46x = 25,900.18 × 5,584.16
  4. Step 4: Simplify right side
    17,272.46x = 144,630,799.94
  5. Step 5: Solve for x
    x = 144,630,799.94/17,272.46
  6. Step 6: Final answer
    x = 8,373.49

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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.