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Finding the Fourth Proportional to 21,612.73, 32,420.10 and 10,506.17

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Solution

The fourth proportional to 21,612.73, 32,420.10 and 10,506.17 is: 15,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.73 : 32,420.10 = 10,506.17 : x
  2. Step 2: Convert to fraction form
    21,612.73/32,420.10 = 10,506.17/x
  3. Step 3: Cross multiply
    21,612.73x = 32,420.10 × 10,506.17
  4. Step 4: Simplify right side
    21,612.73x = 340,611,082.02
  5. Step 5: Solve for x
    x = 340,611,082.02/21,612.73
  6. Step 6: Final answer
    x = 15,759.75

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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.