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Finding the Fourth Proportional to 13,411.37, 18,507.89 and 7,443.42

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Solution

The fourth proportional to 13,411.37, 18,507.89 and 7,443.42 is: 10,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.37 : 18,507.89 = 7,443.42 : x
  2. Step 2: Convert to fraction form
    13,411.37/18,507.89 = 7,443.42/x
  3. Step 3: Cross multiply
    13,411.37x = 18,507.89 × 7,443.42
  4. Step 4: Simplify right side
    13,411.37x = 137,761,961.37
  5. Step 5: Solve for x
    x = 137,761,961.37/13,411.37
  6. Step 6: Final answer
    x = 10,272.03

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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.