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Finding the Fourth Proportional to 17,650.06, 24,357.34 and 9,693

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Solution

The fourth proportional to 17,650.06, 24,357.34 and 9,693 is: 13,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.06 : 24,357.34 = 9,693 : x
  2. Step 2: Convert to fraction form
    17,650.06/24,357.34 = 9,693/x
  3. Step 3: Cross multiply
    17,650.06x = 24,357.34 × 9,693
  4. Step 4: Simplify right side
    17,650.06x = 236,095,696.62
  5. Step 5: Solve for x
    x = 236,095,696.62/17,650.06
  6. Step 6: Final answer
    x = 13,376.48

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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.