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Finding the Fourth Proportional to 13,289.60, 19,909.80 and 7,745.60

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Solution

The fourth proportional to 13,289.60, 19,909.80 and 7,745.60 is: 11,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.60 : 19,909.80 = 7,745.60 : x
  2. Step 2: Convert to fraction form
    13,289.60/19,909.80 = 7,745.60/x
  3. Step 3: Cross multiply
    13,289.60x = 19,909.80 × 7,745.60
  4. Step 4: Simplify right side
    13,289.60x = 154,213,346.88
  5. Step 5: Solve for x
    x = 154,213,346.88/13,289.60
  6. Step 6: Final answer
    x = 11,604.06

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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.