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Finding the Fourth Proportional to 14,198.54, 19,594.11 and 7,825.36

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Solution

The fourth proportional to 14,198.54, 19,594.11 and 7,825.36 is: 10,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.54 : 19,594.11 = 7,825.36 : x
  2. Step 2: Convert to fraction form
    14,198.54/19,594.11 = 7,825.36/x
  3. Step 3: Cross multiply
    14,198.54x = 19,594.11 × 7,825.36
  4. Step 4: Simplify right side
    14,198.54x = 153,330,920.50
  5. Step 5: Solve for x
    x = 153,330,920.50/14,198.54
  6. Step 6: Final answer
    x = 10,799.07

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