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Finding the Fourth Proportional to 24,500.86, 33,811.17 and 13,322.86

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Solution

The fourth proportional to 24,500.86, 33,811.17 and 13,322.86 is: 18,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.86 : 33,811.17 = 13,322.86 : x
  2. Step 2: Convert to fraction form
    24,500.86/33,811.17 = 13,322.86/x
  3. Step 3: Cross multiply
    24,500.86x = 33,811.17 × 13,322.86
  4. Step 4: Simplify right side
    24,500.86x = 450,461,484.35
  5. Step 5: Solve for x
    x = 450,461,484.35/24,500.86
  6. Step 6: Final answer
    x = 18,385.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.