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Finding the Fourth Proportional to 23,193.14, 34,794.44 and 9,866.10

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Solution

The fourth proportional to 23,193.14, 34,794.44 and 9,866.10 is: 14,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.14 : 34,794.44 = 9,866.10 : x
  2. Step 2: Convert to fraction form
    23,193.14/34,794.44 = 9,866.10/x
  3. Step 3: Cross multiply
    23,193.14x = 34,794.44 × 9,866.10
  4. Step 4: Simplify right side
    23,193.14x = 343,285,514.88
  5. Step 5: Solve for x
    x = 343,285,514.88/23,193.14
  6. Step 6: Final answer
    x = 14,801.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.