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Finding the Fourth Proportional to 29,649.74, 40,917.24 and 16,221.83

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Solution

The fourth proportional to 29,649.74, 40,917.24 and 16,221.83 is: 22,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.74 : 40,917.24 = 16,221.83 : x
  2. Step 2: Convert to fraction form
    29,649.74/40,917.24 = 16,221.83/x
  3. Step 3: Cross multiply
    29,649.74x = 40,917.24 × 16,221.83
  4. Step 4: Simplify right side
    29,649.74x = 663,752,511.35
  5. Step 5: Solve for x
    x = 663,752,511.35/29,649.74
  6. Step 6: Final answer
    x = 22,386.45

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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.