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Finding the Fourth Proportional to 12,377.70, 18,566.55 and 4,059

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Solution

The fourth proportional to 12,377.70, 18,566.55 and 4,059 is: 6,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.70 : 18,566.55 = 4,059 : x
  2. Step 2: Convert to fraction form
    12,377.70/18,566.55 = 4,059/x
  3. Step 3: Cross multiply
    12,377.70x = 18,566.55 × 4,059
  4. Step 4: Simplify right side
    12,377.70x = 75,361,626.45
  5. Step 5: Solve for x
    x = 75,361,626.45/12,377.70
  6. Step 6: Final answer
    x = 6,088.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.