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Finding the Fourth Proportional to 29,823, 41,155.74 and 17,255.04

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Solution

The fourth proportional to 29,823, 41,155.74 and 17,255.04 is: 23,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 41,155.74 = 17,255.04 : x
  2. Step 2: Convert to fraction form
    29,823/41,155.74 = 17,255.04/x
  3. Step 3: Cross multiply
    29,823x = 41,155.74 × 17,255.04
  4. Step 4: Simplify right side
    29,823x = 710,143,939.93
  5. Step 5: Solve for x
    x = 710,143,939.93/29,823
  6. Step 6: Final answer
    x = 23,811.96

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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.