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Finding the Fourth Proportional to 24,537.76, 33,863.04 and 13,927.84

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Solution

The fourth proportional to 24,537.76, 33,863.04 and 13,927.84 is: 19,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.76 : 33,863.04 = 13,927.84 : x
  2. Step 2: Convert to fraction form
    24,537.76/33,863.04 = 13,927.84/x
  3. Step 3: Cross multiply
    24,537.76x = 33,863.04 × 13,927.84
  4. Step 4: Simplify right side
    24,537.76x = 471,639,003.03
  5. Step 5: Solve for x
    x = 471,639,003.03/24,537.76
  6. Step 6: Final answer
    x = 19,220.95

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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.