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Finding the Fourth Proportional to 17,654.88, 24,363.75 and 9,697.26

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Solution

The fourth proportional to 17,654.88, 24,363.75 and 9,697.26 is: 13,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.88 : 24,363.75 = 9,697.26 : x
  2. Step 2: Convert to fraction form
    17,654.88/24,363.75 = 9,697.26/x
  3. Step 3: Cross multiply
    17,654.88x = 24,363.75 × 9,697.26
  4. Step 4: Simplify right side
    17,654.88x = 236,261,496.51
  5. Step 5: Solve for x
    x = 236,261,496.51/17,654.88
  6. Step 6: Final answer
    x = 13,382.22

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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.