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Finding the Fourth Proportional to 17,714.88, 24,444 and 9,757.08

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Solution

The fourth proportional to 17,714.88, 24,444 and 9,757.08 is: 13,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.88 : 24,444 = 9,757.08 : x
  2. Step 2: Convert to fraction form
    17,714.88/24,444 = 9,757.08/x
  3. Step 3: Cross multiply
    17,714.88x = 24,444 × 9,757.08
  4. Step 4: Simplify right side
    17,714.88x = 238,502,063.52
  5. Step 5: Solve for x
    x = 238,502,063.52/17,714.88
  6. Step 6: Final answer
    x = 13,463.37

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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.