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Finding the Fourth Proportional to 15,886.56, 23,832 and 5,499.12

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Solution

The fourth proportional to 15,886.56, 23,832 and 5,499.12 is: 8,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.56 : 23,832 = 5,499.12 : x
  2. Step 2: Convert to fraction form
    15,886.56/23,832 = 5,499.12/x
  3. Step 3: Cross multiply
    15,886.56x = 23,832 × 5,499.12
  4. Step 4: Simplify right side
    15,886.56x = 131,055,027.84
  5. Step 5: Solve for x
    x = 131,055,027.84/15,886.56
  6. Step 6: Final answer
    x = 8,249.43

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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.