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Finding the Fourth Proportional to 18,141.84, 27,214.48 and 7,049.38

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Solution

The fourth proportional to 18,141.84, 27,214.48 and 7,049.38 is: 10,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,141.84 : 27,214.48 = 7,049.38 : x
  2. Step 2: Convert to fraction form
    18,141.84/27,214.48 = 7,049.38/x
  3. Step 3: Cross multiply
    18,141.84x = 27,214.48 × 7,049.38
  4. Step 4: Simplify right side
    18,141.84x = 191,845,304.26
  5. Step 5: Solve for x
    x = 191,845,304.26/18,141.84
  6. Step 6: Final answer
    x = 10,574.74

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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.