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Finding the Fourth Proportional to 16,820.52, 23,212.26 and 9,266.64

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Solution

The fourth proportional to 16,820.52, 23,212.26 and 9,266.64 is: 12,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.52 : 23,212.26 = 9,266.64 : x
  2. Step 2: Convert to fraction form
    16,820.52/23,212.26 = 9,266.64/x
  3. Step 3: Cross multiply
    16,820.52x = 23,212.26 × 9,266.64
  4. Step 4: Simplify right side
    16,820.52x = 215,099,657.01
  5. Step 5: Solve for x
    x = 215,099,657.01/16,820.52
  6. Step 6: Final answer
    x = 12,787.93

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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.