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Finding the Fourth Proportional to 16,019.44, 22,105.88 and 8,946.32

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Solution

The fourth proportional to 16,019.44, 22,105.88 and 8,946.32 is: 12,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.44 : 22,105.88 = 8,946.32 : x
  2. Step 2: Convert to fraction form
    16,019.44/22,105.88 = 8,946.32/x
  3. Step 3: Cross multiply
    16,019.44x = 22,105.88 × 8,946.32
  4. Step 4: Simplify right side
    16,019.44x = 197,766,276.36
  5. Step 5: Solve for x
    x = 197,766,276.36/16,019.44
  6. Step 6: Final answer
    x = 12,345.39

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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.