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Finding the Fourth Proportional to 16,130.97, 22,260.75 and 9,057.41

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Solution

The fourth proportional to 16,130.97, 22,260.75 and 9,057.41 is: 12,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130.97 : 22,260.75 = 9,057.41 : x
  2. Step 2: Convert to fraction form
    16,130.97/22,260.75 = 9,057.41/x
  3. Step 3: Cross multiply
    16,130.97x = 22,260.75 × 9,057.41
  4. Step 4: Simplify right side
    16,130.97x = 201,624,739.66
  5. Step 5: Solve for x
    x = 201,624,739.66/16,130.97
  6. Step 6: Final answer
    x = 12,499.23

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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.