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Finding the Fourth Proportional to 29,766.96, 41,084.82 and 17,830.80

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Solution

The fourth proportional to 29,766.96, 41,084.82 and 17,830.80 is: 24,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766.96 : 41,084.82 = 17,830.80 : x
  2. Step 2: Convert to fraction form
    29,766.96/41,084.82 = 17,830.80/x
  3. Step 3: Cross multiply
    29,766.96x = 41,084.82 × 17,830.80
  4. Step 4: Simplify right side
    29,766.96x = 732,575,208.46
  5. Step 5: Solve for x
    x = 732,575,208.46/29,766.96
  6. Step 6: Final answer
    x = 24,610.35

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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.