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Finding the Fourth Proportional to 23,453.65, 35,182.31 and 6,813.96

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Solution

The fourth proportional to 23,453.65, 35,182.31 and 6,813.96 is: 10,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.65 : 35,182.31 = 6,813.96 : x
  2. Step 2: Convert to fraction form
    23,453.65/35,182.31 = 6,813.96/x
  3. Step 3: Cross multiply
    23,453.65x = 35,182.31 × 6,813.96
  4. Step 4: Simplify right side
    23,453.65x = 239,730,853.05
  5. Step 5: Solve for x
    x = 239,730,853.05/23,453.65
  6. Step 6: Final answer
    x = 10,221.47

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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.