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Finding the Fourth Proportional to 12,967.26, 19,450.88 and 5,176.14

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Solution

The fourth proportional to 12,967.26, 19,450.88 and 5,176.14 is: 7,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.26 : 19,450.88 = 5,176.14 : x
  2. Step 2: Convert to fraction form
    12,967.26/19,450.88 = 5,176.14/x
  3. Step 3: Cross multiply
    12,967.26x = 19,450.88 × 5,176.14
  4. Step 4: Simplify right side
    12,967.26x = 100,680,478.00
  5. Step 5: Solve for x
    x = 100,680,478.00/12,967.26
  6. Step 6: Final answer
    x = 7,764.21

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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.