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Finding the Fourth Proportional to 18,490.23, 27,724.23 and 7,232.16

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Solution

The fourth proportional to 18,490.23, 27,724.23 and 7,232.16 is: 10,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.23 : 27,724.23 = 7,232.16 : x
  2. Step 2: Convert to fraction form
    18,490.23/27,724.23 = 7,232.16/x
  3. Step 3: Cross multiply
    18,490.23x = 27,724.23 × 7,232.16
  4. Step 4: Simplify right side
    18,490.23x = 200,506,067.24
  5. Step 5: Solve for x
    x = 200,506,067.24/18,490.23
  6. Step 6: Final answer
    x = 10,843.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.