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Finding the Fourth Proportional to 29,783.85, 41,098.62 and 17,846.88

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Solution

The fourth proportional to 29,783.85, 41,098.62 and 17,846.88 is: 24,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.85 : 41,098.62 = 17,846.88 : x
  2. Step 2: Convert to fraction form
    29,783.85/41,098.62 = 17,846.88/x
  3. Step 3: Cross multiply
    29,783.85x = 41,098.62 × 17,846.88
  4. Step 4: Simplify right side
    29,783.85x = 733,482,139.31
  5. Step 5: Solve for x
    x = 733,482,139.31/29,783.85
  6. Step 6: Final answer
    x = 24,626.84

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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.