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Finding the Fourth Proportional to 16,002.36, 22,083.54 and 8,929.44

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Solution

The fourth proportional to 16,002.36, 22,083.54 and 8,929.44 is: 12,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.36 : 22,083.54 = 8,929.44 : x
  2. Step 2: Convert to fraction form
    16,002.36/22,083.54 = 8,929.44/x
  3. Step 3: Cross multiply
    16,002.36x = 22,083.54 × 8,929.44
  4. Step 4: Simplify right side
    16,002.36x = 197,193,645.42
  5. Step 5: Solve for x
    x = 197,193,645.42/16,002.36
  6. Step 6: Final answer
    x = 12,322.79

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