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Finding the Fourth Proportional to 12,807.42, 19,209.56 and 3,448.17

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Solution

The fourth proportional to 12,807.42, 19,209.56 and 3,448.17 is: 5,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.42 : 19,209.56 = 3,448.17 : x
  2. Step 2: Convert to fraction form
    12,807.42/19,209.56 = 3,448.17/x
  3. Step 3: Cross multiply
    12,807.42x = 19,209.56 × 3,448.17
  4. Step 4: Simplify right side
    12,807.42x = 66,237,811.26
  5. Step 5: Solve for x
    x = 66,237,811.26/12,807.42
  6. Step 6: Final answer
    x = 5,171.83

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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.