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Finding the Fourth Proportional to 12,804.34, 19,206.60 and 4,039.96

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Solution

The fourth proportional to 12,804.34, 19,206.60 and 4,039.96 is: 6,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.34 : 19,206.60 = 4,039.96 : x
  2. Step 2: Convert to fraction form
    12,804.34/19,206.60 = 4,039.96/x
  3. Step 3: Cross multiply
    12,804.34x = 19,206.60 × 4,039.96
  4. Step 4: Simplify right side
    12,804.34x = 77,593,895.74
  5. Step 5: Solve for x
    x = 77,593,895.74/12,804.34
  6. Step 6: Final answer
    x = 6,059.97

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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.