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Finding the Fourth Proportional to 22,723.29, 31,361.90 and 13,290.03

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Solution

The fourth proportional to 22,723.29, 31,361.90 and 13,290.03 is: 18,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.29 : 31,361.90 = 13,290.03 : x
  2. Step 2: Convert to fraction form
    22,723.29/31,361.90 = 13,290.03/x
  3. Step 3: Cross multiply
    22,723.29x = 31,361.90 × 13,290.03
  4. Step 4: Simplify right side
    22,723.29x = 416,800,525.41
  5. Step 5: Solve for x
    x = 416,800,525.41/22,723.29
  6. Step 6: Final answer
    x = 18,342.44

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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.