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Finding the Fourth Proportional to 17,950.76, 24,772.94 and 9,992.82

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Solution

The fourth proportional to 17,950.76, 24,772.94 and 9,992.82 is: 13,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,950.76 : 24,772.94 = 9,992.82 : x
  2. Step 2: Convert to fraction form
    17,950.76/24,772.94 = 9,992.82/x
  3. Step 3: Cross multiply
    17,950.76x = 24,772.94 × 9,992.82
  4. Step 4: Simplify right side
    17,950.76x = 247,551,471.35
  5. Step 5: Solve for x
    x = 247,551,471.35/17,950.76
  6. Step 6: Final answer
    x = 13,790.58

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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.