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Finding the Fourth Proportional to 29,650.32, 40,917.08 and 16,221.40

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Solution

The fourth proportional to 29,650.32, 40,917.08 and 16,221.40 is: 22,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650.32 : 40,917.08 = 16,221.40 : x
  2. Step 2: Convert to fraction form
    29,650.32/40,917.08 = 16,221.40/x
  3. Step 3: Cross multiply
    29,650.32x = 40,917.08 × 16,221.40
  4. Step 4: Simplify right side
    29,650.32x = 663,732,259.77
  5. Step 5: Solve for x
    x = 663,732,259.77/29,650.32
  6. Step 6: Final answer
    x = 22,385.33

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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.