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Finding the Fourth Proportional to 22,794, 31,451.92 and 15,228.19

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Solution

The fourth proportional to 22,794, 31,451.92 and 15,228.19 is: 21,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794 : 31,451.92 = 15,228.19 : x
  2. Step 2: Convert to fraction form
    22,794/31,451.92 = 15,228.19/x
  3. Step 3: Cross multiply
    22,794x = 31,451.92 × 15,228.19
  4. Step 4: Simplify right side
    22,794x = 478,955,813.62
  5. Step 5: Solve for x
    x = 478,955,813.62/22,794
  6. Step 6: Final answer
    x = 21,012.36

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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.