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Finding the Fourth Proportional to 19,434, 29,155.92 and 5,583

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Solution

The fourth proportional to 19,434, 29,155.92 and 5,583 is: 8,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434 : 29,155.92 = 5,583 : x
  2. Step 2: Convert to fraction form
    19,434/29,155.92 = 5,583/x
  3. Step 3: Cross multiply
    19,434x = 29,155.92 × 5,583
  4. Step 4: Simplify right side
    19,434x = 162,777,501.36
  5. Step 5: Solve for x
    x = 162,777,501.36/19,434
  6. Step 6: Final answer
    x = 8,375.91

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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.