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Finding the Fourth Proportional to 13,640.37, 20,460.59 and 3,779.68

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Solution

The fourth proportional to 13,640.37, 20,460.59 and 3,779.68 is: 5,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.37 : 20,460.59 = 3,779.68 : x
  2. Step 2: Convert to fraction form
    13,640.37/20,460.59 = 3,779.68/x
  3. Step 3: Cross multiply
    13,640.37x = 20,460.59 × 3,779.68
  4. Step 4: Simplify right side
    13,640.37x = 77,334,463.91
  5. Step 5: Solve for x
    x = 77,334,463.91/13,640.37
  6. Step 6: Final answer
    x = 5,669.53

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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.