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Finding the Fourth Proportional to 13,390.24, 20,086 and 5,069.60

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Solution

The fourth proportional to 13,390.24, 20,086 and 5,069.60 is: 7,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.24 : 20,086 = 5,069.60 : x
  2. Step 2: Convert to fraction form
    13,390.24/20,086 = 5,069.60/x
  3. Step 3: Cross multiply
    13,390.24x = 20,086 × 5,069.60
  4. Step 4: Simplify right side
    13,390.24x = 101,827,985.60
  5. Step 5: Solve for x
    x = 101,827,985.60/13,390.24
  6. Step 6: Final answer
    x = 7,604.64

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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.