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Finding the Fourth Proportional to 17,725.74, 24,461.82 and 9,767.90

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Solution

The fourth proportional to 17,725.74, 24,461.82 and 9,767.90 is: 13,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.74 : 24,461.82 = 9,767.90 : x
  2. Step 2: Convert to fraction form
    17,725.74/24,461.82 = 9,767.90/x
  3. Step 3: Cross multiply
    17,725.74x = 24,461.82 × 9,767.90
  4. Step 4: Simplify right side
    17,725.74x = 238,940,611.58
  5. Step 5: Solve for x
    x = 238,940,611.58/17,725.74
  6. Step 6: Final answer
    x = 13,479.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.