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Finding the Fourth Proportional to 24,538.92, 33,863.62 and 13,361

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Solution

The fourth proportional to 24,538.92, 33,863.62 and 13,361 is: 18,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.92 : 33,863.62 = 13,361 : x
  2. Step 2: Convert to fraction form
    24,538.92/33,863.62 = 13,361/x
  3. Step 3: Cross multiply
    24,538.92x = 33,863.62 × 13,361
  4. Step 4: Simplify right side
    24,538.92x = 452,451,826.82
  5. Step 5: Solve for x
    x = 452,451,826.82/24,538.92
  6. Step 6: Final answer
    x = 18,438.13

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1.5x scale

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.