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Finding the Fourth Proportional to 14,827.44, 20,415.24 and 12,584.64

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Solution

The fourth proportional to 14,827.44, 20,415.24 and 12,584.64 is: 17,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.44 : 20,415.24 = 12,584.64 : x
  2. Step 2: Convert to fraction form
    14,827.44/20,415.24 = 12,584.64/x
  3. Step 3: Cross multiply
    14,827.44x = 20,415.24 × 12,584.64
  4. Step 4: Simplify right side
    14,827.44x = 256,918,445.91
  5. Step 5: Solve for x
    x = 256,918,445.91/14,827.44
  6. Step 6: Final answer
    x = 17,327.23

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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.