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Finding the Fourth Proportional to 17,575.50, 26,363.58 and 8,212.95

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Solution

The fourth proportional to 17,575.50, 26,363.58 and 8,212.95 is: 12,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.50 : 26,363.58 = 8,212.95 : x
  2. Step 2: Convert to fraction form
    17,575.50/26,363.58 = 8,212.95/x
  3. Step 3: Cross multiply
    17,575.50x = 26,363.58 × 8,212.95
  4. Step 4: Simplify right side
    17,575.50x = 216,522,764.36
  5. Step 5: Solve for x
    x = 216,522,764.36/17,575.50
  6. Step 6: Final answer
    x = 12,319.58

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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.