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Finding the Fourth Proportional to 14,531.94, 20,054.09 and 8,157.64

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Solution

The fourth proportional to 14,531.94, 20,054.09 and 8,157.64 is: 11,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.94 : 20,054.09 = 8,157.64 : x
  2. Step 2: Convert to fraction form
    14,531.94/20,054.09 = 8,157.64/x
  3. Step 3: Cross multiply
    14,531.94x = 20,054.09 × 8,157.64
  4. Step 4: Simplify right side
    14,531.94x = 163,594,046.75
  5. Step 5: Solve for x
    x = 163,594,046.75/14,531.94
  6. Step 6: Final answer
    x = 11,257.55

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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.