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Finding the Fourth Proportional to 16,133.18, 24,192.47 and 5,745.20

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Solution

The fourth proportional to 16,133.18, 24,192.47 and 5,745.20 is: 8,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.18 : 24,192.47 = 5,745.20 : x
  2. Step 2: Convert to fraction form
    16,133.18/24,192.47 = 5,745.20/x
  3. Step 3: Cross multiply
    16,133.18x = 24,192.47 × 5,745.20
  4. Step 4: Simplify right side
    16,133.18x = 138,990,472.04
  5. Step 5: Solve for x
    x = 138,990,472.04/16,133.18
  6. Step 6: Final answer
    x = 8,615.20

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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.