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Finding the Fourth Proportional to 17,879.94, 24,673.14 and 9,922.16

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Solution

The fourth proportional to 17,879.94, 24,673.14 and 9,922.16 is: 13,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.94 : 24,673.14 = 9,922.16 : x
  2. Step 2: Convert to fraction form
    17,879.94/24,673.14 = 9,922.16/x
  3. Step 3: Cross multiply
    17,879.94x = 24,673.14 × 9,922.16
  4. Step 4: Simplify right side
    17,879.94x = 244,810,904.47
  5. Step 5: Solve for x
    x = 244,810,904.47/17,879.94
  6. Step 6: Final answer
    x = 13,691.93

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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.