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Finding the Fourth Proportional to 12,804.09, 19,206.14 and 4,039.69

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Solution

The fourth proportional to 12,804.09, 19,206.14 and 4,039.69 is: 6,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.09 : 19,206.14 = 4,039.69 : x
  2. Step 2: Convert to fraction form
    12,804.09/19,206.14 = 4,039.69/x
  3. Step 3: Cross multiply
    12,804.09x = 19,206.14 × 4,039.69
  4. Step 4: Simplify right side
    12,804.09x = 77,586,851.70
  5. Step 5: Solve for x
    x = 77,586,851.70/12,804.09
  6. Step 6: Final answer
    x = 6,059.54

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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.