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Finding the Fourth Proportional to 22,892.81, 31,593.24 and 12,820.66

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Solution

The fourth proportional to 22,892.81, 31,593.24 and 12,820.66 is: 17,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.81 : 31,593.24 = 12,820.66 : x
  2. Step 2: Convert to fraction form
    22,892.81/31,593.24 = 12,820.66/x
  3. Step 3: Cross multiply
    22,892.81x = 31,593.24 × 12,820.66
  4. Step 4: Simplify right side
    22,892.81x = 405,046,109.36
  5. Step 5: Solve for x
    x = 405,046,109.36/22,892.81
  6. Step 6: Final answer
    x = 17,693.16

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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.