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Finding the Fourth Proportional to 23,730.74, 35,568.56 and 8,930.22

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Solution

The fourth proportional to 23,730.74, 35,568.56 and 8,930.22 is: 13,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.74 : 35,568.56 = 8,930.22 : x
  2. Step 2: Convert to fraction form
    23,730.74/35,568.56 = 8,930.22/x
  3. Step 3: Cross multiply
    23,730.74x = 35,568.56 × 8,930.22
  4. Step 4: Simplify right side
    23,730.74x = 317,635,021.23
  5. Step 5: Solve for x
    x = 317,635,021.23/23,730.74
  6. Step 6: Final answer
    x = 13,384.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.