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Finding the Fourth Proportional to 12,646.97, 18,968.79 and 3,881.15

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Solution

The fourth proportional to 12,646.97, 18,968.79 and 3,881.15 is: 5,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.97 : 18,968.79 = 3,881.15 : x
  2. Step 2: Convert to fraction form
    12,646.97/18,968.79 = 3,881.15/x
  3. Step 3: Cross multiply
    12,646.97x = 18,968.79 × 3,881.15
  4. Step 4: Simplify right side
    12,646.97x = 73,620,719.31
  5. Step 5: Solve for x
    x = 73,620,719.31/12,646.97
  6. Step 6: Final answer
    x = 5,821.21

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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.