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Finding the Fourth Proportional to 12,879.60, 19,313.64 and 3,643.44

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Solution

The fourth proportional to 12,879.60, 19,313.64 and 3,643.44 is: 5,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.60 : 19,313.64 = 3,643.44 : x
  2. Step 2: Convert to fraction form
    12,879.60/19,313.64 = 3,643.44/x
  3. Step 3: Cross multiply
    12,879.60x = 19,313.64 × 3,643.44
  4. Step 4: Simplify right side
    12,879.60x = 70,368,088.52
  5. Step 5: Solve for x
    x = 70,368,088.52/12,879.60
  6. Step 6: Final answer
    x = 5,463.53

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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.