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Finding the Fourth Proportional to 12,796.80, 19,209.60 and 7,605.60

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Solution

The fourth proportional to 12,796.80, 19,209.60 and 7,605.60 is: 11,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.80 : 19,209.60 = 7,605.60 : x
  2. Step 2: Convert to fraction form
    12,796.80/19,209.60 = 7,605.60/x
  3. Step 3: Cross multiply
    12,796.80x = 19,209.60 × 7,605.60
  4. Step 4: Simplify right side
    12,796.80x = 146,100,533.76
  5. Step 5: Solve for x
    x = 146,100,533.76/12,796.80
  6. Step 6: Final answer
    x = 11,416.96

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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.