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Finding the Fourth Proportional to 21,134.49, 31,702.31 and 6,343.41

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Solution

The fourth proportional to 21,134.49, 31,702.31 and 6,343.41 is: 9,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.49 : 31,702.31 = 6,343.41 : x
  2. Step 2: Convert to fraction form
    21,134.49/31,702.31 = 6,343.41/x
  3. Step 3: Cross multiply
    21,134.49x = 31,702.31 × 6,343.41
  4. Step 4: Simplify right side
    21,134.49x = 201,100,575.91
  5. Step 5: Solve for x
    x = 201,100,575.91/21,134.49
  6. Step 6: Final answer
    x = 9,515.28

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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.