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Finding the Fourth Proportional to 13,928.32, 19,221.05 and 7,640.68

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Solution

The fourth proportional to 13,928.32, 19,221.05 and 7,640.68 is: 10,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.32 : 19,221.05 = 7,640.68 : x
  2. Step 2: Convert to fraction form
    13,928.32/19,221.05 = 7,640.68/x
  3. Step 3: Cross multiply
    13,928.32x = 19,221.05 × 7,640.68
  4. Step 4: Simplify right side
    13,928.32x = 146,861,892.31
  5. Step 5: Solve for x
    x = 146,861,892.31/13,928.32
  6. Step 6: Final answer
    x = 10,544.12

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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.