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Finding the Fourth Proportional to 19,429.24, 29,143.88 and 5,578.24

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Solution

The fourth proportional to 19,429.24, 29,143.88 and 5,578.24 is: 8,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429.24 : 29,143.88 = 5,578.24 : x
  2. Step 2: Convert to fraction form
    19,429.24/29,143.88 = 5,578.24/x
  3. Step 3: Cross multiply
    19,429.24x = 29,143.88 × 5,578.24
  4. Step 4: Simplify right side
    19,429.24x = 162,571,557.17
  5. Step 5: Solve for x
    x = 162,571,557.17/19,429.24
  6. Step 6: Final answer
    x = 8,367.37

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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.