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Finding the Fourth Proportional to 13,490.34, 18,616.73 and 7,522.26

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Solution

The fourth proportional to 13,490.34, 18,616.73 and 7,522.26 is: 10,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.34 : 18,616.73 = 7,522.26 : x
  2. Step 2: Convert to fraction form
    13,490.34/18,616.73 = 7,522.26/x
  3. Step 3: Cross multiply
    13,490.34x = 18,616.73 × 7,522.26
  4. Step 4: Simplify right side
    13,490.34x = 140,039,883.41
  5. Step 5: Solve for x
    x = 140,039,883.41/13,490.34
  6. Step 6: Final answer
    x = 10,380.75

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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.