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Finding the Fourth Proportional to 15,523.65, 23,269.31 and 7,196.82

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Solution

The fourth proportional to 15,523.65, 23,269.31 and 7,196.82 is: 10,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.65 : 23,269.31 = 7,196.82 : x
  2. Step 2: Convert to fraction form
    15,523.65/23,269.31 = 7,196.82/x
  3. Step 3: Cross multiply
    15,523.65x = 23,269.31 × 7,196.82
  4. Step 4: Simplify right side
    15,523.65x = 167,464,939.34
  5. Step 5: Solve for x
    x = 167,464,939.34/15,523.65
  6. Step 6: Final answer
    x = 10,787.73

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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.