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Finding the Fourth Proportional to 21,584.17, 32,376.31 and 8,427.32

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Solution

The fourth proportional to 21,584.17, 32,376.31 and 8,427.32 is: 12,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.17 : 32,376.31 = 8,427.32 : x
  2. Step 2: Convert to fraction form
    21,584.17/32,376.31 = 8,427.32/x
  3. Step 3: Cross multiply
    21,584.17x = 32,376.31 × 8,427.32
  4. Step 4: Simplify right side
    21,584.17x = 272,845,372.19
  5. Step 5: Solve for x
    x = 272,845,372.19/21,584.17
  6. Step 6: Final answer
    x = 12,640.99

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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.