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Finding the Fourth Proportional to 12,822.42, 19,232.04 and 3,463.20

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Solution

The fourth proportional to 12,822.42, 19,232.04 and 3,463.20 is: 5,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.42 : 19,232.04 = 3,463.20 : x
  2. Step 2: Convert to fraction form
    12,822.42/19,232.04 = 3,463.20/x
  3. Step 3: Cross multiply
    12,822.42x = 19,232.04 × 3,463.20
  4. Step 4: Simplify right side
    12,822.42x = 66,604,400.93
  5. Step 5: Solve for x
    x = 66,604,400.93/12,822.42
  6. Step 6: Final answer
    x = 5,194.37

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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.