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Finding the Fourth Proportional to 24,379.61, 33,645.92 and 13,771.17

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Solution

The fourth proportional to 24,379.61, 33,645.92 and 13,771.17 is: 19,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.61 : 33,645.92 = 13,771.17 : x
  2. Step 2: Convert to fraction form
    24,379.61/33,645.92 = 13,771.17/x
  3. Step 3: Cross multiply
    24,379.61x = 33,645.92 × 13,771.17
  4. Step 4: Simplify right side
    24,379.61x = 463,343,615.27
  5. Step 5: Solve for x
    x = 463,343,615.27/24,379.61
  6. Step 6: Final answer
    x = 19,005.38

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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.