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Finding the Fourth Proportional to 22,892.19, 31,593.23 and 12,820.47

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Solution

The fourth proportional to 22,892.19, 31,593.23 and 12,820.47 is: 17,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.19 : 31,593.23 = 12,820.47 : x
  2. Step 2: Convert to fraction form
    22,892.19/31,593.23 = 12,820.47/x
  3. Step 3: Cross multiply
    22,892.19x = 31,593.23 × 12,820.47
  4. Step 4: Simplify right side
    22,892.19x = 405,040,057.42
  5. Step 5: Solve for x
    x = 405,040,057.42/22,892.19
  6. Step 6: Final answer
    x = 17,693.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.