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Finding the Fourth Proportional to 12,739.31, 19,109.19 and 4,419.62

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Solution

The fourth proportional to 12,739.31, 19,109.19 and 4,419.62 is: 6,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.31 : 19,109.19 = 4,419.62 : x
  2. Step 2: Convert to fraction form
    12,739.31/19,109.19 = 4,419.62/x
  3. Step 3: Cross multiply
    12,739.31x = 19,109.19 × 4,419.62
  4. Step 4: Simplify right side
    12,739.31x = 84,455,358.31
  5. Step 5: Solve for x
    x = 84,455,358.31/12,739.31
  6. Step 6: Final answer
    x = 6,629.51

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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.