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Finding the Fourth Proportional to 21,350.18, 32,026.80 and 8,202.55

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Solution

The fourth proportional to 21,350.18, 32,026.80 and 8,202.55 is: 12,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350.18 : 32,026.80 = 8,202.55 : x
  2. Step 2: Convert to fraction form
    21,350.18/32,026.80 = 8,202.55/x
  3. Step 3: Cross multiply
    21,350.18x = 32,026.80 × 8,202.55
  4. Step 4: Simplify right side
    21,350.18x = 262,701,268.21
  5. Step 5: Solve for x
    x = 262,701,268.21/21,350.18
  6. Step 6: Final answer
    x = 12,304.41

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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.