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Finding the Fourth Proportional to 21,213.64, 31,821.28 and 5,631.40

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Solution

The fourth proportional to 21,213.64, 31,821.28 and 5,631.40 is: 8,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.64 : 31,821.28 = 5,631.40 : x
  2. Step 2: Convert to fraction form
    21,213.64/31,821.28 = 5,631.40/x
  3. Step 3: Cross multiply
    21,213.64x = 31,821.28 × 5,631.40
  4. Step 4: Simplify right side
    21,213.64x = 179,198,356.19
  5. Step 5: Solve for x
    x = 179,198,356.19/21,213.64
  6. Step 6: Final answer
    x = 8,447.32

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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.