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Finding the Fourth Proportional to 16,893.84, 23,311.49 and 9,339.15

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Solution

The fourth proportional to 16,893.84, 23,311.49 and 9,339.15 is: 12,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893.84 : 23,311.49 = 9,339.15 : x
  2. Step 2: Convert to fraction form
    16,893.84/23,311.49 = 9,339.15/x
  3. Step 3: Cross multiply
    16,893.84x = 23,311.49 × 9,339.15
  4. Step 4: Simplify right side
    16,893.84x = 217,709,455.14
  5. Step 5: Solve for x
    x = 217,709,455.14/16,893.84
  6. Step 6: Final answer
    x = 12,886.91

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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.