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Finding the Fourth Proportional to 19,578.16, 29,367 and 9,182.56

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Solution

The fourth proportional to 19,578.16, 29,367 and 9,182.56 is: 13,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.16 : 29,367 = 9,182.56 : x
  2. Step 2: Convert to fraction form
    19,578.16/29,367 = 9,182.56/x
  3. Step 3: Cross multiply
    19,578.16x = 29,367 × 9,182.56
  4. Step 4: Simplify right side
    19,578.16x = 269,664,239.52
  5. Step 5: Solve for x
    x = 269,664,239.52/19,578.16
  6. Step 6: Final answer
    x = 13,773.73

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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.