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Finding the Fourth Proportional to 14,788.31, 20,408.09 and 8,415.23

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Solution

The fourth proportional to 14,788.31, 20,408.09 and 8,415.23 is: 11,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.31 : 20,408.09 = 8,415.23 : x
  2. Step 2: Convert to fraction form
    14,788.31/20,408.09 = 8,415.23/x
  3. Step 3: Cross multiply
    14,788.31x = 20,408.09 × 8,415.23
  4. Step 4: Simplify right side
    14,788.31x = 171,738,627.09
  5. Step 5: Solve for x
    x = 171,738,627.09/14,788.31
  6. Step 6: Final answer
    x = 11,613.14

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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.