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Finding the Fourth Proportional to 13,198.64, 19,798.55 and 3,338.00

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Solution

The fourth proportional to 13,198.64, 19,798.55 and 3,338.00 is: 5,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.64 : 19,798.55 = 3,338.00 : x
  2. Step 2: Convert to fraction form
    13,198.64/19,798.55 = 3,338.00/x
  3. Step 3: Cross multiply
    13,198.64x = 19,798.55 × 3,338.00
  4. Step 4: Simplify right side
    13,198.64x = 66,087,444.22
  5. Step 5: Solve for x
    x = 66,087,444.22/13,198.64
  6. Step 6: Final answer
    x = 5,007.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.