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Finding the Fourth Proportional to 38,578.84, 57,853.58 and 13,614.23

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Solution

The fourth proportional to 38,578.84, 57,853.58 and 13,614.23 is: 20,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.84 : 57,853.58 = 13,614.23 : x
  2. Step 2: Convert to fraction form
    38,578.84/57,853.58 = 13,614.23/x
  3. Step 3: Cross multiply
    38,578.84x = 57,853.58 × 13,614.23
  4. Step 4: Simplify right side
    38,578.84x = 787,632,021.01
  5. Step 5: Solve for x
    x = 787,632,021.01/38,578.84
  6. Step 6: Final answer
    x = 20,416.17

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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.