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Finding the Fourth Proportional to 21,305.64, 31,963.14 and 6,311.58

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Solution

The fourth proportional to 21,305.64, 31,963.14 and 6,311.58 is: 9,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.64 : 31,963.14 = 6,311.58 : x
  2. Step 2: Convert to fraction form
    21,305.64/31,963.14 = 6,311.58/x
  3. Step 3: Cross multiply
    21,305.64x = 31,963.14 × 6,311.58
  4. Step 4: Simplify right side
    21,305.64x = 201,737,915.16
  5. Step 5: Solve for x
    x = 201,737,915.16/21,305.64
  6. Step 6: Final answer
    x = 9,468.76

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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.