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Finding the Fourth Proportional to 13,825.57, 19,073.26 and 8,787.08

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Solution

The fourth proportional to 13,825.57, 19,073.26 and 8,787.08 is: 12,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.57 : 19,073.26 = 8,787.08 : x
  2. Step 2: Convert to fraction form
    13,825.57/19,073.26 = 8,787.08/x
  3. Step 3: Cross multiply
    13,825.57x = 19,073.26 × 8,787.08
  4. Step 4: Simplify right side
    13,825.57x = 167,598,217.55
  5. Step 5: Solve for x
    x = 167,598,217.55/13,825.57
  6. Step 6: Final answer
    x = 12,122.34

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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.