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Finding the Fourth Proportional to 27,741.84, 38,284.42 and 16,840.11

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Solution

The fourth proportional to 27,741.84, 38,284.42 and 16,840.11 is: 23,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.84 : 38,284.42 = 16,840.11 : x
  2. Step 2: Convert to fraction form
    27,741.84/38,284.42 = 16,840.11/x
  3. Step 3: Cross multiply
    27,741.84x = 38,284.42 × 16,840.11
  4. Step 4: Simplify right side
    27,741.84x = 644,713,844.09
  5. Step 5: Solve for x
    x = 644,713,844.09/27,741.84
  6. Step 6: Final answer
    x = 23,239.77

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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.