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Finding the Fourth Proportional to 13,910.32, 19,198.08 and 7,940.64

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Solution

The fourth proportional to 13,910.32, 19,198.08 and 7,940.64 is: 10,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.32 : 19,198.08 = 7,940.64 : x
  2. Step 2: Convert to fraction form
    13,910.32/19,198.08 = 7,940.64/x
  3. Step 3: Cross multiply
    13,910.32x = 19,198.08 × 7,940.64
  4. Step 4: Simplify right side
    13,910.32x = 152,445,041.97
  5. Step 5: Solve for x
    x = 152,445,041.97/13,910.32
  6. Step 6: Final answer
    x = 10,959.13

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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.