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Finding the Fourth Proportional to 13,907.49, 19,191.98 and 7,775.25

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Solution

The fourth proportional to 13,907.49, 19,191.98 and 7,775.25 is: 10,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.49 : 19,191.98 = 7,775.25 : x
  2. Step 2: Convert to fraction form
    13,907.49/19,191.98 = 7,775.25/x
  3. Step 3: Cross multiply
    13,907.49x = 19,191.98 × 7,775.25
  4. Step 4: Simplify right side
    13,907.49x = 149,222,403.62
  5. Step 5: Solve for x
    x = 149,222,403.62/13,907.49
  6. Step 6: Final answer
    x = 10,729.64

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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.