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Finding the Fourth Proportional to 21,548.60, 32,322.61 and 8,410.20

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Solution

The fourth proportional to 21,548.60, 32,322.61 and 8,410.20 is: 12,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.60 : 32,322.61 = 8,410.20 : x
  2. Step 2: Convert to fraction form
    21,548.60/32,322.61 = 8,410.20/x
  3. Step 3: Cross multiply
    21,548.60x = 32,322.61 × 8,410.20
  4. Step 4: Simplify right side
    21,548.60x = 271,839,614.62
  5. Step 5: Solve for x
    x = 271,839,614.62/21,548.60
  6. Step 6: Final answer
    x = 12,615.19

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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.