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Finding the Fourth Proportional to 12,759.54, 19,139.85 and 6,191.25

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Solution

The fourth proportional to 12,759.54, 19,139.85 and 6,191.25 is: 9,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.54 : 19,139.85 = 6,191.25 : x
  2. Step 2: Convert to fraction form
    12,759.54/19,139.85 = 6,191.25/x
  3. Step 3: Cross multiply
    12,759.54x = 19,139.85 × 6,191.25
  4. Step 4: Simplify right side
    12,759.54x = 118,499,596.31
  5. Step 5: Solve for x
    x = 118,499,596.31/12,759.54
  6. Step 6: Final answer
    x = 9,287.14

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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.