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Finding the Fourth Proportional to 29,904.26, 41,268.96 and 18,580

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Solution

The fourth proportional to 29,904.26, 41,268.96 and 18,580 is: 25,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904.26 : 41,268.96 = 18,580 : x
  2. Step 2: Convert to fraction form
    29,904.26/41,268.96 = 18,580/x
  3. Step 3: Cross multiply
    29,904.26x = 41,268.96 × 18,580
  4. Step 4: Simplify right side
    29,904.26x = 766,777,276.80
  5. Step 5: Solve for x
    x = 766,777,276.80/29,904.26
  6. Step 6: Final answer
    x = 25,641.07

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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.