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Finding the Fourth Proportional to 13,872.21, 19,138.93 and 8,497.19

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Solution

The fourth proportional to 13,872.21, 19,138.93 and 8,497.19 is: 11,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.21 : 19,138.93 = 8,497.19 : x
  2. Step 2: Convert to fraction form
    13,872.21/19,138.93 = 8,497.19/x
  3. Step 3: Cross multiply
    13,872.21x = 19,138.93 × 8,497.19
  4. Step 4: Simplify right side
    13,872.21x = 162,626,986.43
  5. Step 5: Solve for x
    x = 162,626,986.43/13,872.21
  6. Step 6: Final answer
    x = 11,723.22

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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.