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Finding the Fourth Proportional to 19,297.16, 28,944.62 and 7,448.62

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Solution

The fourth proportional to 19,297.16, 28,944.62 and 7,448.62 is: 11,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.16 : 28,944.62 = 7,448.62 : x
  2. Step 2: Convert to fraction form
    19,297.16/28,944.62 = 7,448.62/x
  3. Step 3: Cross multiply
    19,297.16x = 28,944.62 × 7,448.62
  4. Step 4: Simplify right side
    19,297.16x = 215,597,330.70
  5. Step 5: Solve for x
    x = 215,597,330.70/19,297.16
  6. Step 6: Final answer
    x = 11,172.49

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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.