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Finding the Fourth Proportional to 22,996.71, 31,735.74 and 12,924.56

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Solution

The fourth proportional to 22,996.71, 31,735.74 and 12,924.56 is: 17,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.71 : 31,735.74 = 12,924.56 : x
  2. Step 2: Convert to fraction form
    22,996.71/31,735.74 = 12,924.56/x
  3. Step 3: Cross multiply
    22,996.71x = 31,735.74 × 12,924.56
  4. Step 4: Simplify right side
    22,996.71x = 410,170,475.77
  5. Step 5: Solve for x
    x = 410,170,475.77/22,996.71
  6. Step 6: Final answer
    x = 17,836.05

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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.