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Finding the Fourth Proportional to 12,802.94, 19,204.41 and 4,038.54

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Solution

The fourth proportional to 12,802.94, 19,204.41 and 4,038.54 is: 6,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.94 : 19,204.41 = 4,038.54 : x
  2. Step 2: Convert to fraction form
    12,802.94/19,204.41 = 4,038.54/x
  3. Step 3: Cross multiply
    12,802.94x = 19,204.41 × 4,038.54
  4. Step 4: Simplify right side
    12,802.94x = 77,557,777.96
  5. Step 5: Solve for x
    x = 77,557,777.96/12,802.94
  6. Step 6: Final answer
    x = 6,057.81

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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.