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Finding the Fourth Proportional to 29,766.64, 41,074.96 and 17,829.67

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Solution

The fourth proportional to 29,766.64, 41,074.96 and 17,829.67 is: 24,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766.64 : 41,074.96 = 17,829.67 : x
  2. Step 2: Convert to fraction form
    29,766.64/41,074.96 = 17,829.67/x
  3. Step 3: Cross multiply
    29,766.64x = 41,074.96 × 17,829.67
  4. Step 4: Simplify right side
    29,766.64x = 732,352,982.06
  5. Step 5: Solve for x
    x = 732,352,982.06/29,766.64
  6. Step 6: Final answer
    x = 24,603.15

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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.