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Finding the Fourth Proportional to 29,783.66, 41,099.61 and 16,354.86

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Solution

The fourth proportional to 29,783.66, 41,099.61 and 16,354.86 is: 22,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.66 : 41,099.61 = 16,354.86 : x
  2. Step 2: Convert to fraction form
    29,783.66/41,099.61 = 16,354.86/x
  3. Step 3: Cross multiply
    29,783.66x = 41,099.61 × 16,354.86
  4. Step 4: Simplify right side
    29,783.66x = 672,178,367.60
  5. Step 5: Solve for x
    x = 672,178,367.60/29,783.66
  6. Step 6: Final answer
    x = 22,568.70

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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.