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Finding the Fourth Proportional to 19,037.73, 28,564.80 and 7,946.61

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Solution

The fourth proportional to 19,037.73, 28,564.80 and 7,946.61 is: 11,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037.73 : 28,564.80 = 7,946.61 : x
  2. Step 2: Convert to fraction form
    19,037.73/28,564.80 = 7,946.61/x
  3. Step 3: Cross multiply
    19,037.73x = 28,564.80 × 7,946.61
  4. Step 4: Simplify right side
    19,037.73x = 226,993,325.33
  5. Step 5: Solve for x
    x = 226,993,325.33/19,037.73
  6. Step 6: Final answer
    x = 11,923.34

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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.