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Finding the Fourth Proportional to 21,705.56, 32,563.25 and 6,915.32

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Solution

The fourth proportional to 21,705.56, 32,563.25 and 6,915.32 is: 10,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.56 : 32,563.25 = 6,915.32 : x
  2. Step 2: Convert to fraction form
    21,705.56/32,563.25 = 6,915.32/x
  3. Step 3: Cross multiply
    21,705.56x = 32,563.25 × 6,915.32
  4. Step 4: Simplify right side
    21,705.56x = 225,185,293.99
  5. Step 5: Solve for x
    x = 225,185,293.99/21,705.56
  6. Step 6: Final answer
    x = 10,374.54

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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.