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Finding the Fourth Proportional to 13,896.65, 20,848.37 and 4,537.14

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Solution

The fourth proportional to 13,896.65, 20,848.37 and 4,537.14 is: 6,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.65 : 20,848.37 = 4,537.14 : x
  2. Step 2: Convert to fraction form
    13,896.65/20,848.37 = 4,537.14/x
  3. Step 3: Cross multiply
    13,896.65x = 20,848.37 × 4,537.14
  4. Step 4: Simplify right side
    13,896.65x = 94,591,950.78
  5. Step 5: Solve for x
    x = 94,591,950.78/13,896.65
  6. Step 6: Final answer
    x = 6,806.82

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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.