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Finding the Fourth Proportional to 13,783.92, 19,027.56 and 9,313.68

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Solution

The fourth proportional to 13,783.92, 19,027.56 and 9,313.68 is: 12,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.92 : 19,027.56 = 9,313.68 : x
  2. Step 2: Convert to fraction form
    13,783.92/19,027.56 = 9,313.68/x
  3. Step 3: Cross multiply
    13,783.92x = 19,027.56 × 9,313.68
  4. Step 4: Simplify right side
    13,783.92x = 177,216,605.02
  5. Step 5: Solve for x
    x = 177,216,605.02/13,783.92
  6. Step 6: Final answer
    x = 12,856.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.