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Finding the Fourth Proportional to 16,189.57, 22,344.93 and 10,217.23

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Solution

The fourth proportional to 16,189.57, 22,344.93 and 10,217.23 is: 14,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.57 : 22,344.93 = 10,217.23 : x
  2. Step 2: Convert to fraction form
    16,189.57/22,344.93 = 10,217.23/x
  3. Step 3: Cross multiply
    16,189.57x = 22,344.93 × 10,217.23
  4. Step 4: Simplify right side
    16,189.57x = 228,303,289.14
  5. Step 5: Solve for x
    x = 228,303,289.14/16,189.57
  6. Step 6: Final answer
    x = 14,101.87

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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.