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Finding the Fourth Proportional to 16,193.04, 24,289.92 and 7,422

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Solution

The fourth proportional to 16,193.04, 24,289.92 and 7,422 is: 11,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.04 : 24,289.92 = 7,422 : x
  2. Step 2: Convert to fraction form
    16,193.04/24,289.92 = 7,422/x
  3. Step 3: Cross multiply
    16,193.04x = 24,289.92 × 7,422
  4. Step 4: Simplify right side
    16,193.04x = 180,279,786.24
  5. Step 5: Solve for x
    x = 180,279,786.24/16,193.04
  6. Step 6: Final answer
    x = 11,133.17

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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.