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Finding the Fourth Proportional to 24,095.81, 33,249.28 and 13,339.87

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Solution

The fourth proportional to 24,095.81, 33,249.28 and 13,339.87 is: 18,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.81 : 33,249.28 = 13,339.87 : x
  2. Step 2: Convert to fraction form
    24,095.81/33,249.28 = 13,339.87/x
  3. Step 3: Cross multiply
    24,095.81x = 33,249.28 × 13,339.87
  4. Step 4: Simplify right side
    24,095.81x = 443,541,006.09
  5. Step 5: Solve for x
    x = 443,541,006.09/24,095.81
  6. Step 6: Final answer
    x = 18,407.39

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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.