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Finding the Fourth Proportional to 17,663.25, 24,375.30 and 9,705.63

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Solution

The fourth proportional to 17,663.25, 24,375.30 and 9,705.63 is: 13,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.25 : 24,375.30 = 9,705.63 : x
  2. Step 2: Convert to fraction form
    17,663.25/24,375.30 = 9,705.63/x
  3. Step 3: Cross multiply
    17,663.25x = 24,375.30 × 9,705.63
  4. Step 4: Simplify right side
    17,663.25x = 236,577,642.94
  5. Step 5: Solve for x
    x = 236,577,642.94/17,663.25
  6. Step 6: Final answer
    x = 13,393.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.