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Finding the Fourth Proportional to 24,451.36, 33,741.86 and 13,841.60

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Solution

The fourth proportional to 24,451.36, 33,741.86 and 13,841.60 is: 19,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.36 : 33,741.86 = 13,841.60 : x
  2. Step 2: Convert to fraction form
    24,451.36/33,741.86 = 13,841.60/x
  3. Step 3: Cross multiply
    24,451.36x = 33,741.86 × 13,841.60
  4. Step 4: Simplify right side
    24,451.36x = 467,041,329.38
  5. Step 5: Solve for x
    x = 467,041,329.38/24,451.36
  6. Step 6: Final answer
    x = 19,100.83

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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.