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Finding the Fourth Proportional to 14,046.64, 19,384.56 and 7,759.24

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Solution

The fourth proportional to 14,046.64, 19,384.56 and 7,759.24 is: 10,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.64 : 19,384.56 = 7,759.24 : x
  2. Step 2: Convert to fraction form
    14,046.64/19,384.56 = 7,759.24/x
  3. Step 3: Cross multiply
    14,046.64x = 19,384.56 × 7,759.24
  4. Step 4: Simplify right side
    14,046.64x = 150,409,453.33
  5. Step 5: Solve for x
    x = 150,409,453.33/14,046.64
  6. Step 6: Final answer
    x = 10,707.86

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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.