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Finding the Fourth Proportional to 11,714, 17,547.24 and 9,759.92

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Solution

The fourth proportional to 11,714, 17,547.24 and 9,759.92 is: 14,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714 : 17,547.24 = 9,759.92 : x
  2. Step 2: Convert to fraction form
    11,714/17,547.24 = 9,759.92/x
  3. Step 3: Cross multiply
    11,714x = 17,547.24 × 9,759.92
  4. Step 4: Simplify right side
    11,714x = 171,259,658.62
  5. Step 5: Solve for x
    x = 171,259,658.62/11,714
  6. Step 6: Final answer
    x = 14,620.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.