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Finding the Fourth Proportional to 19,884.09, 27,428.61 and 12,419.13

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Solution

The fourth proportional to 19,884.09, 27,428.61 and 12,419.13 is: 17,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.09 : 27,428.61 = 12,419.13 : x
  2. Step 2: Convert to fraction form
    19,884.09/27,428.61 = 12,419.13/x
  3. Step 3: Cross multiply
    19,884.09x = 27,428.61 × 12,419.13
  4. Step 4: Simplify right side
    19,884.09x = 340,639,473.31
  5. Step 5: Solve for x
    x = 340,639,473.31/19,884.09
  6. Step 6: Final answer
    x = 17,131.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.