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Finding the Fourth Proportional to 12,646.13, 18,969.19 and 3,412.13

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Solution

The fourth proportional to 12,646.13, 18,969.19 and 3,412.13 is: 5,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.13 : 18,969.19 = 3,412.13 : x
  2. Step 2: Convert to fraction form
    12,646.13/18,969.19 = 3,412.13/x
  3. Step 3: Cross multiply
    12,646.13x = 18,969.19 × 3,412.13
  4. Step 4: Simplify right side
    12,646.13x = 64,725,238.90
  5. Step 5: Solve for x
    x = 64,725,238.90/12,646.13
  6. Step 6: Final answer
    x = 5,118.19

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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.