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Finding the Fourth Proportional to 29,712.60, 41,014.08 and 20,274.48

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Solution

The fourth proportional to 29,712.60, 41,014.08 and 20,274.48 is: 27,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.60 : 41,014.08 = 20,274.48 : x
  2. Step 2: Convert to fraction form
    29,712.60/41,014.08 = 20,274.48/x
  3. Step 3: Cross multiply
    29,712.60x = 41,014.08 × 20,274.48
  4. Step 4: Simplify right side
    29,712.60x = 831,539,144.68
  5. Step 5: Solve for x
    x = 831,539,144.68/29,712.60
  6. Step 6: Final answer
    x = 27,986.08

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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.