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Finding the Fourth Proportional to 12,805.26, 19,205.45 and 4,037.82

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Solution

The fourth proportional to 12,805.26, 19,205.45 and 4,037.82 is: 6,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.26 : 19,205.45 = 4,037.82 : x
  2. Step 2: Convert to fraction form
    12,805.26/19,205.45 = 4,037.82/x
  3. Step 3: Cross multiply
    12,805.26x = 19,205.45 × 4,037.82
  4. Step 4: Simplify right side
    12,805.26x = 77,548,150.12
  5. Step 5: Solve for x
    x = 77,548,150.12/12,805.26
  6. Step 6: Final answer
    x = 6,055.96

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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.