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Finding the Fourth Proportional to 15,644.68, 23,462.16 and 5,254

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Solution

The fourth proportional to 15,644.68, 23,462.16 and 5,254 is: 7,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.68 : 23,462.16 = 5,254 : x
  2. Step 2: Convert to fraction form
    15,644.68/23,462.16 = 5,254/x
  3. Step 3: Cross multiply
    15,644.68x = 23,462.16 × 5,254
  4. Step 4: Simplify right side
    15,644.68x = 123,270,188.64
  5. Step 5: Solve for x
    x = 123,270,188.64/15,644.68
  6. Step 6: Final answer
    x = 7,879.37

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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.