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Finding the Fourth Proportional to 24,131.76, 33,302.73 and 13,521

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Solution

The fourth proportional to 24,131.76, 33,302.73 and 13,521 is: 18,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.76 : 33,302.73 = 13,521 : x
  2. Step 2: Convert to fraction form
    24,131.76/33,302.73 = 13,521/x
  3. Step 3: Cross multiply
    24,131.76x = 33,302.73 × 13,521
  4. Step 4: Simplify right side
    24,131.76x = 450,286,212.33
  5. Step 5: Solve for x
    x = 450,286,212.33/24,131.76
  6. Step 6: Final answer
    x = 18,659.48

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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.