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Finding the Fourth Proportional to 17,319.42, 23,895 and 9,764.55

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Solution

The fourth proportional to 17,319.42, 23,895 and 9,764.55 is: 13,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,319.42 : 23,895 = 9,764.55 : x
  2. Step 2: Convert to fraction form
    17,319.42/23,895 = 9,764.55/x
  3. Step 3: Cross multiply
    17,319.42x = 23,895 × 9,764.55
  4. Step 4: Simplify right side
    17,319.42x = 233,323,922.25
  5. Step 5: Solve for x
    x = 233,323,922.25/17,319.42
  6. Step 6: Final answer
    x = 13,471.81

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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.