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Finding the Fourth Proportional to 12,980.64, 19,473.39 and 5,189.52

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Solution

The fourth proportional to 12,980.64, 19,473.39 and 5,189.52 is: 7,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.64 : 19,473.39 = 5,189.52 : x
  2. Step 2: Convert to fraction form
    12,980.64/19,473.39 = 5,189.52/x
  3. Step 3: Cross multiply
    12,980.64x = 19,473.39 × 5,189.52
  4. Step 4: Simplify right side
    12,980.64x = 101,057,546.87
  5. Step 5: Solve for x
    x = 101,057,546.87/12,980.64
  6. Step 6: Final answer
    x = 7,785.25

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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.