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Finding the Fourth Proportional to 12,905.60, 19,365.60 and 5,508.80

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Solution

The fourth proportional to 12,905.60, 19,365.60 and 5,508.80 is: 8,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.60 : 19,365.60 = 5,508.80 : x
  2. Step 2: Convert to fraction form
    12,905.60/19,365.60 = 5,508.80/x
  3. Step 3: Cross multiply
    12,905.60x = 19,365.60 × 5,508.80
  4. Step 4: Simplify right side
    12,905.60x = 106,681,217.28
  5. Step 5: Solve for x
    x = 106,681,217.28/12,905.60
  6. Step 6: Final answer
    x = 8,266.27

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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.