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Finding the Fourth Proportional to 12,680.50, 19,020.39 and 5,658.70

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Solution

The fourth proportional to 12,680.50, 19,020.39 and 5,658.70 is: 8,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.50 : 19,020.39 = 5,658.70 : x
  2. Step 2: Convert to fraction form
    12,680.50/19,020.39 = 5,658.70/x
  3. Step 3: Cross multiply
    12,680.50x = 19,020.39 × 5,658.70
  4. Step 4: Simplify right side
    12,680.50x = 107,630,680.89
  5. Step 5: Solve for x
    x = 107,630,680.89/12,680.50
  6. Step 6: Final answer
    x = 8,487.89

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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.