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Finding the Fourth Proportional to 22,812.77, 31,480.85 and 12,741.13

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Solution

The fourth proportional to 22,812.77, 31,480.85 and 12,741.13 is: 17,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.77 : 31,480.85 = 12,741.13 : x
  2. Step 2: Convert to fraction form
    22,812.77/31,480.85 = 12,741.13/x
  3. Step 3: Cross multiply
    22,812.77x = 31,480.85 × 12,741.13
  4. Step 4: Simplify right side
    22,812.77x = 401,101,673.56
  5. Step 5: Solve for x
    x = 401,101,673.56/22,812.77
  6. Step 6: Final answer
    x = 17,582.33

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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.