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Finding the Fourth Proportional to 21,480.64, 32,194.52 and 10,241.90

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Solution

The fourth proportional to 21,480.64, 32,194.52 and 10,241.90 is: 15,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,480.64 : 32,194.52 = 10,241.90 : x
  2. Step 2: Convert to fraction form
    21,480.64/32,194.52 = 10,241.90/x
  3. Step 3: Cross multiply
    21,480.64x = 32,194.52 × 10,241.90
  4. Step 4: Simplify right side
    21,480.64x = 329,733,054.39
  5. Step 5: Solve for x
    x = 329,733,054.39/21,480.64
  6. Step 6: Final answer
    x = 15,350.24

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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.