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Finding the Fourth Proportional to 18,049.14, 24,897.81 and 10,494.64

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Solution

The fourth proportional to 18,049.14, 24,897.81 and 10,494.64 is: 14,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.14 : 24,897.81 = 10,494.64 : x
  2. Step 2: Convert to fraction form
    18,049.14/24,897.81 = 10,494.64/x
  3. Step 3: Cross multiply
    18,049.14x = 24,897.81 × 10,494.64
  4. Step 4: Simplify right side
    18,049.14x = 261,293,424.13
  5. Step 5: Solve for x
    x = 261,293,424.13/18,049.14
  6. Step 6: Final answer
    x = 14,476.78

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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.