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Finding the Fourth Proportional to 29,783.70, 41,098.48 and 17,846.74

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Solution

The fourth proportional to 29,783.70, 41,098.48 and 17,846.74 is: 24,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.70 : 41,098.48 = 17,846.74 : x
  2. Step 2: Convert to fraction form
    29,783.70/41,098.48 = 17,846.74/x
  3. Step 3: Cross multiply
    29,783.70x = 41,098.48 × 17,846.74
  4. Step 4: Simplify right side
    29,783.70x = 733,473,886.96
  5. Step 5: Solve for x
    x = 733,473,886.96/29,783.70
  6. Step 6: Final answer
    x = 24,626.69

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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.