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Finding the Fourth Proportional to 11,733.64, 16,194.48 and 7,017.94

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Solution

The fourth proportional to 11,733.64, 16,194.48 and 7,017.94 is: 9,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.64 : 16,194.48 = 7,017.94 : x
  2. Step 2: Convert to fraction form
    11,733.64/16,194.48 = 7,017.94/x
  3. Step 3: Cross multiply
    11,733.64x = 16,194.48 × 7,017.94
  4. Step 4: Simplify right side
    11,733.64x = 113,651,888.97
  5. Step 5: Solve for x
    x = 113,651,888.97/11,733.64
  6. Step 6: Final answer
    x = 9,685.99

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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.