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Finding the Fourth Proportional to 21,787.32, 32,688.30 and 8,643.44

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Solution

The fourth proportional to 21,787.32, 32,688.30 and 8,643.44 is: 12,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.32 : 32,688.30 = 8,643.44 : x
  2. Step 2: Convert to fraction form
    21,787.32/32,688.30 = 8,643.44/x
  3. Step 3: Cross multiply
    21,787.32x = 32,688.30 × 8,643.44
  4. Step 4: Simplify right side
    21,787.32x = 282,539,359.75
  5. Step 5: Solve for x
    x = 282,539,359.75/21,787.32
  6. Step 6: Final answer
    x = 12,968.06

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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.