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Finding the Fourth Proportional to 17,578.93, 26,353.95 and 8,214.32

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Solution

The fourth proportional to 17,578.93, 26,353.95 and 8,214.32 is: 12,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.93 : 26,353.95 = 8,214.32 : x
  2. Step 2: Convert to fraction form
    17,578.93/26,353.95 = 8,214.32/x
  3. Step 3: Cross multiply
    17,578.93x = 26,353.95 × 8,214.32
  4. Step 4: Simplify right side
    17,578.93x = 216,479,778.56
  5. Step 5: Solve for x
    x = 216,479,778.56/17,578.93
  6. Step 6: Final answer
    x = 12,314.73

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1.5x scale

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.