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Finding the Fourth Proportional to 13,409.82, 18,507.42 and 7,743.42

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Solution

The fourth proportional to 13,409.82, 18,507.42 and 7,743.42 is: 10,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.82 : 18,507.42 = 7,743.42 : x
  2. Step 2: Convert to fraction form
    13,409.82/18,507.42 = 7,743.42/x
  3. Step 3: Cross multiply
    13,409.82x = 18,507.42 × 7,743.42
  4. Step 4: Simplify right side
    13,409.82x = 143,310,726.18
  5. Step 5: Solve for x
    x = 143,310,726.18/13,409.82
  6. Step 6: Final answer
    x = 10,687.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.