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Finding the Fourth Proportional to 19,734, 29,605.68 and 5,883.36

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Solution

The fourth proportional to 19,734, 29,605.68 and 5,883.36 is: 8,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 29,605.68 = 5,883.36 : x
  2. Step 2: Convert to fraction form
    19,734/29,605.68 = 5,883.36/x
  3. Step 3: Cross multiply
    19,734x = 29,605.68 × 5,883.36
  4. Step 4: Simplify right side
    19,734x = 174,180,873.48
  5. Step 5: Solve for x
    x = 174,180,873.48/19,734
  6. Step 6: Final answer
    x = 8,826.44

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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.