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Finding the Fourth Proportional to 13,405.31, 18,499.94 and 7,436.61

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Solution

The fourth proportional to 13,405.31, 18,499.94 and 7,436.61 is: 10,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.31 : 18,499.94 = 7,436.61 : x
  2. Step 2: Convert to fraction form
    13,405.31/18,499.94 = 7,436.61/x
  3. Step 3: Cross multiply
    13,405.31x = 18,499.94 × 7,436.61
  4. Step 4: Simplify right side
    13,405.31x = 137,576,801.62
  5. Step 5: Solve for x
    x = 137,576,801.62/13,405.31
  6. Step 6: Final answer
    x = 10,262.86

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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.