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Finding the Fourth Proportional to 13,778.21, 20,655.63 and 5,464.10

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Solution

The fourth proportional to 13,778.21, 20,655.63 and 5,464.10 is: 8,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.21 : 20,655.63 = 5,464.10 : x
  2. Step 2: Convert to fraction form
    13,778.21/20,655.63 = 5,464.10/x
  3. Step 3: Cross multiply
    13,778.21x = 20,655.63 × 5,464.10
  4. Step 4: Simplify right side
    13,778.21x = 112,864,427.88
  5. Step 5: Solve for x
    x = 112,864,427.88/13,778.21
  6. Step 6: Final answer
    x = 8,191.52

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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.