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Finding the Fourth Proportional to 22,796.70, 31,446.81 and 13,363.44

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Solution

The fourth proportional to 22,796.70, 31,446.81 and 13,363.44 is: 18,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.70 : 31,446.81 = 13,363.44 : x
  2. Step 2: Convert to fraction form
    22,796.70/31,446.81 = 13,363.44/x
  3. Step 3: Cross multiply
    22,796.70x = 31,446.81 × 13,363.44
  4. Step 4: Simplify right side
    22,796.70x = 420,237,558.63
  5. Step 5: Solve for x
    x = 420,237,558.63/22,796.70
  6. Step 6: Final answer
    x = 18,434.14

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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.