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Finding the Fourth Proportional to 13,396.96, 20,095.59 and 6,377.62

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Solution

The fourth proportional to 13,396.96, 20,095.59 and 6,377.62 is: 9,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.96 : 20,095.59 = 6,377.62 : x
  2. Step 2: Convert to fraction form
    13,396.96/20,095.59 = 6,377.62/x
  3. Step 3: Cross multiply
    13,396.96x = 20,095.59 × 6,377.62
  4. Step 4: Simplify right side
    13,396.96x = 128,162,036.70
  5. Step 5: Solve for x
    x = 128,162,036.70/13,396.96
  6. Step 6: Final answer
    x = 9,566.50

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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.