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Finding the Fourth Proportional to 12,874.83, 19,319.55 and 6,951.65

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Solution

The fourth proportional to 12,874.83, 19,319.55 and 6,951.65 is: 10,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.83 : 19,319.55 = 6,951.65 : x
  2. Step 2: Convert to fraction form
    12,874.83/19,319.55 = 6,951.65/x
  3. Step 3: Cross multiply
    12,874.83x = 19,319.55 × 6,951.65
  4. Step 4: Simplify right side
    12,874.83x = 134,302,653.16
  5. Step 5: Solve for x
    x = 134,302,653.16/12,874.83
  6. Step 6: Final answer
    x = 10,431.41

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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.