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Finding the Fourth Proportional to 22,473.01, 30,998.34 and 13,523.32

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Solution

The fourth proportional to 22,473.01, 30,998.34 and 13,523.32 is: 18,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.01 : 30,998.34 = 13,523.32 : x
  2. Step 2: Convert to fraction form
    22,473.01/30,998.34 = 13,523.32/x
  3. Step 3: Cross multiply
    22,473.01x = 30,998.34 × 13,523.32
  4. Step 4: Simplify right side
    22,473.01x = 419,200,471.29
  5. Step 5: Solve for x
    x = 419,200,471.29/22,473.01
  6. Step 6: Final answer
    x = 18,653.51

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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.