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Finding the Fourth Proportional to 12,646.41, 18,969.54 and 3,881.07

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Solution

The fourth proportional to 12,646.41, 18,969.54 and 3,881.07 is: 5,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.41 : 18,969.54 = 3,881.07 : x
  2. Step 2: Convert to fraction form
    12,646.41/18,969.54 = 3,881.07/x
  3. Step 3: Cross multiply
    12,646.41x = 18,969.54 × 3,881.07
  4. Step 4: Simplify right side
    12,646.41x = 73,622,112.61
  5. Step 5: Solve for x
    x = 73,622,112.61/12,646.41
  6. Step 6: Final answer
    x = 5,821.58

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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.