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Finding the Fourth Proportional to 16,169.46, 22,316.92 and 10,122.50

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Solution

The fourth proportional to 16,169.46, 22,316.92 and 10,122.50 is: 13,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.46 : 22,316.92 = 10,122.50 : x
  2. Step 2: Convert to fraction form
    16,169.46/22,316.92 = 10,122.50/x
  3. Step 3: Cross multiply
    16,169.46x = 22,316.92 × 10,122.50
  4. Step 4: Simplify right side
    16,169.46x = 225,903,022.70
  5. Step 5: Solve for x
    x = 225,903,022.70/16,169.46
  6. Step 6: Final answer
    x = 13,970.97

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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.