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Finding the Fourth Proportional to 21,361.90, 32,048.45 and 8,214.70

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Solution

The fourth proportional to 21,361.90, 32,048.45 and 8,214.70 is: 12,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.90 : 32,048.45 = 8,214.70 : x
  2. Step 2: Convert to fraction form
    21,361.90/32,048.45 = 8,214.70/x
  3. Step 3: Cross multiply
    21,361.90x = 32,048.45 × 8,214.70
  4. Step 4: Simplify right side
    21,361.90x = 263,268,402.22
  5. Step 5: Solve for x
    x = 263,268,402.22/21,361.90
  6. Step 6: Final answer
    x = 12,324.20

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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.