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Finding the Fourth Proportional to 12,646.86, 18,972.72 and 3,880.26

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Solution

The fourth proportional to 12,646.86, 18,972.72 and 3,880.26 is: 5,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.86 : 18,972.72 = 3,880.26 : x
  2. Step 2: Convert to fraction form
    12,646.86/18,972.72 = 3,880.26/x
  3. Step 3: Cross multiply
    12,646.86x = 18,972.72 × 3,880.26
  4. Step 4: Simplify right side
    12,646.86x = 73,619,086.51
  5. Step 5: Solve for x
    x = 73,619,086.51/12,646.86
  6. Step 6: Final answer
    x = 5,821.14

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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.