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Finding the Fourth Proportional to 19,589.36, 27,037.94 and 12,884.13

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Solution

The fourth proportional to 19,589.36, 27,037.94 and 12,884.13 is: 17,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.36 : 27,037.94 = 12,884.13 : x
  2. Step 2: Convert to fraction form
    19,589.36/27,037.94 = 12,884.13/x
  3. Step 3: Cross multiply
    19,589.36x = 27,037.94 × 12,884.13
  4. Step 4: Simplify right side
    19,589.36x = 348,360,269.47
  5. Step 5: Solve for x
    x = 348,360,269.47/19,589.36
  6. Step 6: Final answer
    x = 17,783.14

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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.