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Finding the Fourth Proportional to 14,284.44, 19,664.88 and 12,286.98

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Solution

The fourth proportional to 14,284.44, 19,664.88 and 12,286.98 is: 16,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.44 : 19,664.88 = 12,286.98 : x
  2. Step 2: Convert to fraction form
    14,284.44/19,664.88 = 12,286.98/x
  3. Step 3: Cross multiply
    14,284.44x = 19,664.88 × 12,286.98
  4. Step 4: Simplify right side
    14,284.44x = 241,621,987.26
  5. Step 5: Solve for x
    x = 241,621,987.26/14,284.44
  6. Step 6: Final answer
    x = 16,915.05

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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.