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Finding the Fourth Proportional to 17,194.68, 23,728.57 and 9,641.00

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Solution

The fourth proportional to 17,194.68, 23,728.57 and 9,641.00 is: 13,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.68 : 23,728.57 = 9,641.00 : x
  2. Step 2: Convert to fraction form
    17,194.68/23,728.57 = 9,641.00/x
  3. Step 3: Cross multiply
    17,194.68x = 23,728.57 × 9,641.00
  4. Step 4: Simplify right side
    17,194.68x = 228,767,178.59
  5. Step 5: Solve for x
    x = 228,767,178.59/17,194.68
  6. Step 6: Final answer
    x = 13,304.53

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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.