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Finding the Fourth Proportional to 16,819.64, 23,212.17 and 9,265.99

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Solution

The fourth proportional to 16,819.64, 23,212.17 and 9,265.99 is: 12,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.64 : 23,212.17 = 9,265.99 : x
  2. Step 2: Convert to fraction form
    16,819.64/23,212.17 = 9,265.99/x
  3. Step 3: Cross multiply
    16,819.64x = 23,212.17 × 9,265.99
  4. Step 4: Simplify right side
    16,819.64x = 215,083,677.07
  5. Step 5: Solve for x
    x = 215,083,677.07/16,819.64
  6. Step 6: Final answer
    x = 12,787.65

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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.