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Finding the Fourth Proportional to 13,745.68, 20,621.72 and 5,848.63

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Solution

The fourth proportional to 13,745.68, 20,621.72 and 5,848.63 is: 8,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.68 : 20,621.72 = 5,848.63 : x
  2. Step 2: Convert to fraction form
    13,745.68/20,621.72 = 5,848.63/x
  3. Step 3: Cross multiply
    13,745.68x = 20,621.72 × 5,848.63
  4. Step 4: Simplify right side
    13,745.68x = 120,608,810.24
  5. Step 5: Solve for x
    x = 120,608,810.24/13,745.68
  6. Step 6: Final answer
    x = 8,774.31

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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.