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Finding the Fourth Proportional to 14,036, 19,370.76 and 8,069.54

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Solution

The fourth proportional to 14,036, 19,370.76 and 8,069.54 is: 11,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036 : 19,370.76 = 8,069.54 : x
  2. Step 2: Convert to fraction form
    14,036/19,370.76 = 8,069.54/x
  3. Step 3: Cross multiply
    14,036x = 19,370.76 × 8,069.54
  4. Step 4: Simplify right side
    14,036x = 156,313,122.65
  5. Step 5: Solve for x
    x = 156,313,122.65/14,036
  6. Step 6: Final answer
    x = 11,136.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.