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Finding the Fourth Proportional to 17,592.82, 24,278.09 and 9,635.06

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Solution

The fourth proportional to 17,592.82, 24,278.09 and 9,635.06 is: 13,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,592.82 : 24,278.09 = 9,635.06 : x
  2. Step 2: Convert to fraction form
    17,592.82/24,278.09 = 9,635.06/x
  3. Step 3: Cross multiply
    17,592.82x = 24,278.09 × 9,635.06
  4. Step 4: Simplify right side
    17,592.82x = 233,920,968.24
  5. Step 5: Solve for x
    x = 233,920,968.24/17,592.82
  6. Step 6: Final answer
    x = 13,296.39

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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.