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Finding the Fourth Proportional to 16,044.06, 22,141.78 and 8,970.96

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Solution

The fourth proportional to 16,044.06, 22,141.78 and 8,970.96 is: 12,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.06 : 22,141.78 = 8,970.96 : x
  2. Step 2: Convert to fraction form
    16,044.06/22,141.78 = 8,970.96/x
  3. Step 3: Cross multiply
    16,044.06x = 22,141.78 × 8,970.96
  4. Step 4: Simplify right side
    16,044.06x = 198,633,022.71
  5. Step 5: Solve for x
    x = 198,633,022.71/16,044.06
  6. Step 6: Final answer
    x = 12,380.47

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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.