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Finding the Fourth Proportional to 16,342.86, 22,552.44 and 9,074.51

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Solution

The fourth proportional to 16,342.86, 22,552.44 and 9,074.51 is: 12,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.86 : 22,552.44 = 9,074.51 : x
  2. Step 2: Convert to fraction form
    16,342.86/22,552.44 = 9,074.51/x
  3. Step 3: Cross multiply
    16,342.86x = 22,552.44 × 9,074.51
  4. Step 4: Simplify right side
    16,342.86x = 204,652,229.54
  5. Step 5: Solve for x
    x = 204,652,229.54/16,342.86
  6. Step 6: Final answer
    x = 12,522.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.