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Finding the Fourth Proportional to 14,801.44, 20,426 and 8,513.80

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Solution

The fourth proportional to 14,801.44, 20,426 and 8,513.80 is: 11,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.44 : 20,426 = 8,513.80 : x
  2. Step 2: Convert to fraction form
    14,801.44/20,426 = 8,513.80/x
  3. Step 3: Cross multiply
    14,801.44x = 20,426 × 8,513.80
  4. Step 4: Simplify right side
    14,801.44x = 173,902,878.80
  5. Step 5: Solve for x
    x = 173,902,878.80/14,801.44
  6. Step 6: Final answer
    x = 11,749.05

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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.