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Finding the Fourth Proportional to 13,194.32, 18,187.72 and 9,832

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Solution

The fourth proportional to 13,194.32, 18,187.72 and 9,832 is: 13,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.32 : 18,187.72 = 9,832 : x
  2. Step 2: Convert to fraction form
    13,194.32/18,187.72 = 9,832/x
  3. Step 3: Cross multiply
    13,194.32x = 18,187.72 × 9,832
  4. Step 4: Simplify right side
    13,194.32x = 178,821,663.04
  5. Step 5: Solve for x
    x = 178,821,663.04/13,194.32
  6. Step 6: Final answer
    x = 13,552.93

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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.