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Finding the Fourth Proportional to 13,415.82, 20,124.16 and 6,396.60

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Solution

The fourth proportional to 13,415.82, 20,124.16 and 6,396.60 is: 9,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.82 : 20,124.16 = 6,396.60 : x
  2. Step 2: Convert to fraction form
    13,415.82/20,124.16 = 6,396.60/x
  3. Step 3: Cross multiply
    13,415.82x = 20,124.16 × 6,396.60
  4. Step 4: Simplify right side
    13,415.82x = 128,726,201.86
  5. Step 5: Solve for x
    x = 128,726,201.86/13,415.82
  6. Step 6: Final answer
    x = 9,595.11

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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.