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Finding the Fourth Proportional to 13,907.99, 19,192.67 and 7,775.75

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Solution

The fourth proportional to 13,907.99, 19,192.67 and 7,775.75 is: 10,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.99 : 19,192.67 = 7,775.75 : x
  2. Step 2: Convert to fraction form
    13,907.99/19,192.67 = 7,775.75/x
  3. Step 3: Cross multiply
    13,907.99x = 19,192.67 × 7,775.75
  4. Step 4: Simplify right side
    13,907.99x = 149,237,364.87
  5. Step 5: Solve for x
    x = 149,237,364.87/13,907.99
  6. Step 6: Final answer
    x = 10,730.33

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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.