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Finding the Fourth Proportional to 16,029.54, 22,120.83 and 9,319.10

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Solution

The fourth proportional to 16,029.54, 22,120.83 and 9,319.10 is: 12,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.54 : 22,120.83 = 9,319.10 : x
  2. Step 2: Convert to fraction form
    16,029.54/22,120.83 = 9,319.10/x
  3. Step 3: Cross multiply
    16,029.54x = 22,120.83 × 9,319.10
  4. Step 4: Simplify right side
    16,029.54x = 206,146,116.25
  5. Step 5: Solve for x
    x = 206,146,116.25/16,029.54
  6. Step 6: Final answer
    x = 12,860.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.