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Finding the Fourth Proportional to 17,663.26, 24,375.30 and 9,706.00

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Solution

The fourth proportional to 17,663.26, 24,375.30 and 9,706.00 is: 13,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.26 : 24,375.30 = 9,706.00 : x
  2. Step 2: Convert to fraction form
    17,663.26/24,375.30 = 9,706.00/x
  3. Step 3: Cross multiply
    17,663.26x = 24,375.30 × 9,706.00
  4. Step 4: Simplify right side
    17,663.26x = 236,586,610.17
  5. Step 5: Solve for x
    x = 236,586,610.17/17,663.26
  6. Step 6: Final answer
    x = 13,394.28

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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.