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Finding the Fourth Proportional to 15,342.72, 22,992.48 and 8,772

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Solution

The fourth proportional to 15,342.72, 22,992.48 and 8,772 is: 13,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.72 : 22,992.48 = 8,772 : x
  2. Step 2: Convert to fraction form
    15,342.72/22,992.48 = 8,772/x
  3. Step 3: Cross multiply
    15,342.72x = 22,992.48 × 8,772
  4. Step 4: Simplify right side
    15,342.72x = 201,690,034.56
  5. Step 5: Solve for x
    x = 201,690,034.56/15,342.72
  6. Step 6: Final answer
    x = 13,145.65

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Why These Related Problems?

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