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Finding the Fourth Proportional to 13,826.70, 19,088.73 and 9,119.16

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Solution

The fourth proportional to 13,826.70, 19,088.73 and 9,119.16 is: 12,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.70 : 19,088.73 = 9,119.16 : x
  2. Step 2: Convert to fraction form
    13,826.70/19,088.73 = 9,119.16/x
  3. Step 3: Cross multiply
    13,826.70x = 19,088.73 × 9,119.16
  4. Step 4: Simplify right side
    13,826.70x = 174,073,183.07
  5. Step 5: Solve for x
    x = 174,073,183.07/13,826.70
  6. Step 6: Final answer
    x = 12,589.64

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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.