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Finding the Fourth Proportional to 21,254.64, 31,880.28 and 6,463.53

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Solution

The fourth proportional to 21,254.64, 31,880.28 and 6,463.53 is: 9,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.64 : 31,880.28 = 6,463.53 : x
  2. Step 2: Convert to fraction form
    21,254.64/31,880.28 = 6,463.53/x
  3. Step 3: Cross multiply
    21,254.64x = 31,880.28 × 6,463.53
  4. Step 4: Simplify right side
    21,254.64x = 206,059,170.43
  5. Step 5: Solve for x
    x = 206,059,170.43/21,254.64
  6. Step 6: Final answer
    x = 9,694.79

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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.