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Finding the Fourth Proportional to 16,820.75, 23,212.41 and 9,266.93

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Solution

The fourth proportional to 16,820.75, 23,212.41 and 9,266.93 is: 12,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.75 : 23,212.41 = 9,266.93 : x
  2. Step 2: Convert to fraction form
    16,820.75/23,212.41 = 9,266.93/x
  3. Step 3: Cross multiply
    16,820.75x = 23,212.41 × 9,266.93
  4. Step 4: Simplify right side
    16,820.75x = 215,107,778.60
  5. Step 5: Solve for x
    x = 215,107,778.60/16,820.75
  6. Step 6: Final answer
    x = 12,788.24

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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.