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Finding the Fourth Proportional to 17,929.22, 24,742.92 and 9,863.22

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Solution

The fourth proportional to 17,929.22, 24,742.92 and 9,863.22 is: 13,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.22 : 24,742.92 = 9,863.22 : x
  2. Step 2: Convert to fraction form
    17,929.22/24,742.92 = 9,863.22/x
  3. Step 3: Cross multiply
    17,929.22x = 24,742.92 × 9,863.22
  4. Step 4: Simplify right side
    17,929.22x = 244,044,863.40
  5. Step 5: Solve for x
    x = 244,044,863.40/17,929.22
  6. Step 6: Final answer
    x = 13,611.57

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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.