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Finding the Fourth Proportional to 16,005.16, 22,084.90 and 8,930.20

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Solution

The fourth proportional to 16,005.16, 22,084.90 and 8,930.20 is: 12,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.16 : 22,084.90 = 8,930.20 : x
  2. Step 2: Convert to fraction form
    16,005.16/22,084.90 = 8,930.20/x
  3. Step 3: Cross multiply
    16,005.16x = 22,084.90 × 8,930.20
  4. Step 4: Simplify right side
    16,005.16x = 197,222,573.98
  5. Step 5: Solve for x
    x = 197,222,573.98/16,005.16
  6. Step 6: Final answer
    x = 12,322.44

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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.