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Finding the Fourth Proportional to 13,069, 19,608.78 and 5,669.56

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Solution

The fourth proportional to 13,069, 19,608.78 and 5,669.56 is: 8,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069 : 19,608.78 = 5,669.56 : x
  2. Step 2: Convert to fraction form
    13,069/19,608.78 = 5,669.56/x
  3. Step 3: Cross multiply
    13,069x = 19,608.78 × 5,669.56
  4. Step 4: Simplify right side
    13,069x = 111,173,154.74
  5. Step 5: Solve for x
    x = 111,173,154.74/13,069
  6. Step 6: Final answer
    x = 8,506.63

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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.