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Finding the Fourth Proportional to 16,197.54, 24,287.70 and 5,101.20

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Solution

The fourth proportional to 16,197.54, 24,287.70 and 5,101.20 is: 7,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.54 : 24,287.70 = 5,101.20 : x
  2. Step 2: Convert to fraction form
    16,197.54/24,287.70 = 5,101.20/x
  3. Step 3: Cross multiply
    16,197.54x = 24,287.70 × 5,101.20
  4. Step 4: Simplify right side
    16,197.54x = 123,896,415.24
  5. Step 5: Solve for x
    x = 123,896,415.24/16,197.54
  6. Step 6: Final answer
    x = 7,649.09

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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.