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Finding the Fourth Proportional to 16,811, 25,220.14 and 5,125.13

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Solution

The fourth proportional to 16,811, 25,220.14 and 5,125.13 is: 7,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811 : 25,220.14 = 5,125.13 : x
  2. Step 2: Convert to fraction form
    16,811/25,220.14 = 5,125.13/x
  3. Step 3: Cross multiply
    16,811x = 25,220.14 × 5,125.13
  4. Step 4: Simplify right side
    16,811x = 129,256,496.12
  5. Step 5: Solve for x
    x = 129,256,496.12/16,811
  6. Step 6: Final answer
    x = 7,688.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.