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Finding the Fourth Proportional to 13,975.88, 19,286.64 and 8,007.64

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Solution

The fourth proportional to 13,975.88, 19,286.64 and 8,007.64 is: 11,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.88 : 19,286.64 = 8,007.64 : x
  2. Step 2: Convert to fraction form
    13,975.88/19,286.64 = 8,007.64/x
  3. Step 3: Cross multiply
    13,975.88x = 19,286.64 × 8,007.64
  4. Step 4: Simplify right side
    13,975.88x = 154,440,469.93
  5. Step 5: Solve for x
    x = 154,440,469.93/13,975.88
  6. Step 6: Final answer
    x = 11,050.50

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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.