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Finding the Fourth Proportional to 29,780.64, 41,098.29 and 16,353.39

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Solution

The fourth proportional to 29,780.64, 41,098.29 and 16,353.39 is: 22,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.64 : 41,098.29 = 16,353.39 : x
  2. Step 2: Convert to fraction form
    29,780.64/41,098.29 = 16,353.39/x
  3. Step 3: Cross multiply
    29,780.64x = 41,098.29 × 16,353.39
  4. Step 4: Simplify right side
    29,780.64x = 672,096,364.70
  5. Step 5: Solve for x
    x = 672,096,364.70/29,780.64
  6. Step 6: Final answer
    x = 22,568.23

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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.