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Finding the Fourth Proportional to 13,531.62, 18,673.92 and 8,496

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Solution

The fourth proportional to 13,531.62, 18,673.92 and 8,496 is: 11,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.62 : 18,673.92 = 8,496 : x
  2. Step 2: Convert to fraction form
    13,531.62/18,673.92 = 8,496/x
  3. Step 3: Cross multiply
    13,531.62x = 18,673.92 × 8,496
  4. Step 4: Simplify right side
    13,531.62x = 158,653,624.32
  5. Step 5: Solve for x
    x = 158,653,624.32/13,531.62
  6. Step 6: Final answer
    x = 11,724.66

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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.