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Finding the Fourth Proportional to 12,804.82, 19,208.22 and 4,911.12

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Solution

The fourth proportional to 12,804.82, 19,208.22 and 4,911.12 is: 7,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.82 : 19,208.22 = 4,911.12 : x
  2. Step 2: Convert to fraction form
    12,804.82/19,208.22 = 4,911.12/x
  3. Step 3: Cross multiply
    12,804.82x = 19,208.22 × 4,911.12
  4. Step 4: Simplify right side
    12,804.82x = 94,333,873.41
  5. Step 5: Solve for x
    x = 94,333,873.41/12,804.82
  6. Step 6: Final answer
    x = 7,367.06

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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.