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Finding the Fourth Proportional to 12,759.17, 19,137.72 and 8,065.49

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Solution

The fourth proportional to 12,759.17, 19,137.72 and 8,065.49 is: 12,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.17 : 19,137.72 = 8,065.49 : x
  2. Step 2: Convert to fraction form
    12,759.17/19,137.72 = 8,065.49/x
  3. Step 3: Cross multiply
    12,759.17x = 19,137.72 × 8,065.49
  4. Step 4: Simplify right side
    12,759.17x = 154,355,089.28
  5. Step 5: Solve for x
    x = 154,355,089.28/12,759.17
  6. Step 6: Final answer
    x = 12,097.58

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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.