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Finding the Fourth Proportional to 12,504.58, 18,759.40 and 5,109.63

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Solution

The fourth proportional to 12,504.58, 18,759.40 and 5,109.63 is: 7,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.58 : 18,759.40 = 5,109.63 : x
  2. Step 2: Convert to fraction form
    12,504.58/18,759.40 = 5,109.63/x
  3. Step 3: Cross multiply
    12,504.58x = 18,759.40 × 5,109.63
  4. Step 4: Simplify right side
    12,504.58x = 95,853,615.42
  5. Step 5: Solve for x
    x = 95,853,615.42/12,504.58
  6. Step 6: Final answer
    x = 7,665.48

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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.