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Finding the Fourth Proportional to 12,906.40, 19,345.20 and 5,509.60

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Solution

The fourth proportional to 12,906.40, 19,345.20 and 5,509.60 is: 8,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.40 : 19,345.20 = 5,509.60 : x
  2. Step 2: Convert to fraction form
    12,906.40/19,345.20 = 5,509.60/x
  3. Step 3: Cross multiply
    12,906.40x = 19,345.20 × 5,509.60
  4. Step 4: Simplify right side
    12,906.40x = 106,584,313.92
  5. Step 5: Solve for x
    x = 106,584,313.92/12,906.40
  6. Step 6: Final answer
    x = 8,258.25

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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.