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Finding the Fourth Proportional to 19,578.94, 29,373.28 and 5,727.94

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Solution

The fourth proportional to 19,578.94, 29,373.28 and 5,727.94 is: 8,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.94 : 29,373.28 = 5,727.94 : x
  2. Step 2: Convert to fraction form
    19,578.94/29,373.28 = 5,727.94/x
  3. Step 3: Cross multiply
    19,578.94x = 29,373.28 × 5,727.94
  4. Step 4: Simplify right side
    19,578.94x = 168,248,297.69
  5. Step 5: Solve for x
    x = 168,248,297.69/19,578.94
  6. Step 6: Final answer
    x = 8,593.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.