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Finding the Fourth Proportional to 16,336.30, 24,504.47 and 4,649.52

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Solution

The fourth proportional to 16,336.30, 24,504.47 and 4,649.52 is: 6,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.30 : 24,504.47 = 4,649.52 : x
  2. Step 2: Convert to fraction form
    16,336.30/24,504.47 = 4,649.52/x
  3. Step 3: Cross multiply
    16,336.30x = 24,504.47 × 4,649.52
  4. Step 4: Simplify right side
    16,336.30x = 113,934,023.35
  5. Step 5: Solve for x
    x = 113,934,023.35/16,336.30
  6. Step 6: Final answer
    x = 6,974.29

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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.