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Finding the Fourth Proportional to 21,002.70, 31,452.32 and 13,584.44

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Solution

The fourth proportional to 21,002.70, 31,452.32 and 13,584.44 is: 20,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.70 : 31,452.32 = 13,584.44 : x
  2. Step 2: Convert to fraction form
    21,002.70/31,452.32 = 13,584.44/x
  3. Step 3: Cross multiply
    21,002.70x = 31,452.32 × 13,584.44
  4. Step 4: Simplify right side
    21,002.70x = 427,262,153.90
  5. Step 5: Solve for x
    x = 427,262,153.90/21,002.70
  6. Step 6: Final answer
    x = 20,343.20

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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.