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Finding the Fourth Proportional to 24,538, 33,863.16 and 13,360.72

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Solution

The fourth proportional to 24,538, 33,863.16 and 13,360.72 is: 18,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 33,863.16 = 13,360.72 : x
  2. Step 2: Convert to fraction form
    24,538/33,863.16 = 13,360.72/x
  3. Step 3: Cross multiply
    24,538x = 33,863.16 × 13,360.72
  4. Step 4: Simplify right side
    24,538x = 452,436,199.08
  5. Step 5: Solve for x
    x = 452,436,199.08/24,538
  6. Step 6: Final answer
    x = 18,438.19

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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.