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Finding the Fourth Proportional to 24,516.85, 33,828.06 and 16,031.38

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Solution

The fourth proportional to 24,516.85, 33,828.06 and 16,031.38 is: 22,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.85 : 33,828.06 = 16,031.38 : x
  2. Step 2: Convert to fraction form
    24,516.85/33,828.06 = 16,031.38/x
  3. Step 3: Cross multiply
    24,516.85x = 33,828.06 × 16,031.38
  4. Step 4: Simplify right side
    24,516.85x = 542,310,484.52
  5. Step 5: Solve for x
    x = 542,310,484.52/24,516.85
  6. Step 6: Final answer
    x = 22,119.91

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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.