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Finding the Fourth Proportional to 24,076.38, 33,222.72 and 13,465.80

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Solution

The fourth proportional to 24,076.38, 33,222.72 and 13,465.80 is: 18,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.38 : 33,222.72 = 13,465.80 : x
  2. Step 2: Convert to fraction form
    24,076.38/33,222.72 = 13,465.80/x
  3. Step 3: Cross multiply
    24,076.38x = 33,222.72 × 13,465.80
  4. Step 4: Simplify right side
    24,076.38x = 447,370,502.98
  5. Step 5: Solve for x
    x = 447,370,502.98/24,076.38
  6. Step 6: Final answer
    x = 18,581.30

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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.