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Finding the Fourth Proportional to 27,742.82, 38,282.09 and 16,412.74

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Solution

The fourth proportional to 27,742.82, 38,282.09 and 16,412.74 is: 22,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.82 : 38,282.09 = 16,412.74 : x
  2. Step 2: Convert to fraction form
    27,742.82/38,282.09 = 16,412.74/x
  3. Step 3: Cross multiply
    27,742.82x = 38,282.09 × 16,412.74
  4. Step 4: Simplify right side
    27,742.82x = 628,313,989.83
  5. Step 5: Solve for x
    x = 628,313,989.83/27,742.82
  6. Step 6: Final answer
    x = 22,647.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.