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Finding the Fourth Proportional to 24,462, 36,693.06 and 8,879.64

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Solution

The fourth proportional to 24,462, 36,693.06 and 8,879.64 is: 13,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 36,693.06 = 8,879.64 : x
  2. Step 2: Convert to fraction form
    24,462/36,693.06 = 8,879.64/x
  3. Step 3: Cross multiply
    24,462x = 36,693.06 × 8,879.64
  4. Step 4: Simplify right side
    24,462x = 325,821,163.30
  5. Step 5: Solve for x
    x = 325,821,163.30/24,462
  6. Step 6: Final answer
    x = 13,319.48

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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.