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Finding the Fourth Proportional to 21,032.66, 31,546.89 and 8,553.42

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Solution

The fourth proportional to 21,032.66, 31,546.89 and 8,553.42 is: 12,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.66 : 31,546.89 = 8,553.42 : x
  2. Step 2: Convert to fraction form
    21,032.66/31,546.89 = 8,553.42/x
  3. Step 3: Cross multiply
    21,032.66x = 31,546.89 × 8,553.42
  4. Step 4: Simplify right side
    21,032.66x = 269,833,799.86
  5. Step 5: Solve for x
    x = 269,833,799.86/21,032.66
  6. Step 6: Final answer
    x = 12,829.28

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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.