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Finding the Fourth Proportional to 18,322.75, 27,482.74 and 5,842.27

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Solution

The fourth proportional to 18,322.75, 27,482.74 and 5,842.27 is: 8,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322.75 : 27,482.74 = 5,842.27 : x
  2. Step 2: Convert to fraction form
    18,322.75/27,482.74 = 5,842.27/x
  3. Step 3: Cross multiply
    18,322.75x = 27,482.74 × 5,842.27
  4. Step 4: Simplify right side
    18,322.75x = 160,561,587.42
  5. Step 5: Solve for x
    x = 160,561,587.42/18,322.75
  6. Step 6: Final answer
    x = 8,762.96

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