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Finding the Fourth Proportional to 22,883.92, 31,580.58 and 12,812.78

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Solution

The fourth proportional to 22,883.92, 31,580.58 and 12,812.78 is: 17,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.92 : 31,580.58 = 12,812.78 : x
  2. Step 2: Convert to fraction form
    22,883.92/31,580.58 = 12,812.78/x
  3. Step 3: Cross multiply
    22,883.92x = 31,580.58 × 12,812.78
  4. Step 4: Simplify right side
    22,883.92x = 404,635,150.81
  5. Step 5: Solve for x
    x = 404,635,150.81/22,883.92
  6. Step 6: Final answer
    x = 17,682.08

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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.