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Finding the Fourth Proportional to 21,856.34, 32,787.42 and 7,061.66

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Solution

The fourth proportional to 21,856.34, 32,787.42 and 7,061.66 is: 10,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.34 : 32,787.42 = 7,061.66 : x
  2. Step 2: Convert to fraction form
    21,856.34/32,787.42 = 7,061.66/x
  3. Step 3: Cross multiply
    21,856.34x = 32,787.42 × 7,061.66
  4. Step 4: Simplify right side
    21,856.34x = 231,533,612.32
  5. Step 5: Solve for x
    x = 231,533,612.32/21,856.34
  6. Step 6: Final answer
    x = 10,593.43

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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.