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Finding the Fourth Proportional to 18,471.24, 27,713.34 and 9,582.30

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Solution

The fourth proportional to 18,471.24, 27,713.34 and 9,582.30 is: 14,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.24 : 27,713.34 = 9,582.30 : x
  2. Step 2: Convert to fraction form
    18,471.24/27,713.34 = 9,582.30/x
  3. Step 3: Cross multiply
    18,471.24x = 27,713.34 × 9,582.30
  4. Step 4: Simplify right side
    18,471.24x = 265,557,537.88
  5. Step 5: Solve for x
    x = 265,557,537.88/18,471.24
  6. Step 6: Final answer
    x = 14,376.81

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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.