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Finding the Fourth Proportional to 21,032.84, 31,549.26 and 7,181.84

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Solution

The fourth proportional to 21,032.84, 31,549.26 and 7,181.84 is: 10,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.84 : 31,549.26 = 7,181.84 : x
  2. Step 2: Convert to fraction form
    21,032.84/31,549.26 = 7,181.84/x
  3. Step 3: Cross multiply
    21,032.84x = 31,549.26 × 7,181.84
  4. Step 4: Simplify right side
    21,032.84x = 226,581,737.44
  5. Step 5: Solve for x
    x = 226,581,737.44/21,032.84
  6. Step 6: Final answer
    x = 10,772.76

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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.