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Finding the Fourth Proportional to 19,619.50, 29,447.74 and 7,151.57

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Solution

The fourth proportional to 19,619.50, 29,447.74 and 7,151.57 is: 10,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.50 : 29,447.74 = 7,151.57 : x
  2. Step 2: Convert to fraction form
    19,619.50/29,447.74 = 7,151.57/x
  3. Step 3: Cross multiply
    19,619.50x = 29,447.74 × 7,151.57
  4. Step 4: Simplify right side
    19,619.50x = 210,597,556.07
  5. Step 5: Solve for x
    x = 210,597,556.07/19,619.50
  6. Step 6: Final answer
    x = 10,734.10

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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.