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Finding the Fourth Proportional to 22,550.25, 31,120.79 and 12,614.25

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Solution

The fourth proportional to 22,550.25, 31,120.79 and 12,614.25 is: 17,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,550.25 : 31,120.79 = 12,614.25 : x
  2. Step 2: Convert to fraction form
    22,550.25/31,120.79 = 12,614.25/x
  3. Step 3: Cross multiply
    22,550.25x = 31,120.79 × 12,614.25
  4. Step 4: Simplify right side
    22,550.25x = 392,565,362.19
  5. Step 5: Solve for x
    x = 392,565,362.19/22,550.25
  6. Step 6: Final answer
    x = 17,408.47

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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.