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Finding the Fourth Proportional to 21,741.60, 32,569.20 and 11,863.20

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Solution

The fourth proportional to 21,741.60, 32,569.20 and 11,863.20 is: 17,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,741.60 : 32,569.20 = 11,863.20 : x
  2. Step 2: Convert to fraction form
    21,741.60/32,569.20 = 11,863.20/x
  3. Step 3: Cross multiply
    21,741.60x = 32,569.20 × 11,863.20
  4. Step 4: Simplify right side
    21,741.60x = 386,374,933.44
  5. Step 5: Solve for x
    x = 386,374,933.44/21,741.60
  6. Step 6: Final answer
    x = 17,771.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.