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Finding the Fourth Proportional to 13,907.43, 20,862.06 and 5,586.37

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Solution

The fourth proportional to 13,907.43, 20,862.06 and 5,586.37 is: 8,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.43 : 20,862.06 = 5,586.37 : x
  2. Step 2: Convert to fraction form
    13,907.43/20,862.06 = 5,586.37/x
  3. Step 3: Cross multiply
    13,907.43x = 20,862.06 × 5,586.37
  4. Step 4: Simplify right side
    13,907.43x = 116,543,186.12
  5. Step 5: Solve for x
    x = 116,543,186.12/13,907.43
  6. Step 6: Final answer
    x = 8,379.92

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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.