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Finding the Fourth Proportional to 16,838.37, 23,235.71 and 9,284.85

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Solution

The fourth proportional to 16,838.37, 23,235.71 and 9,284.85 is: 12,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.37 : 23,235.71 = 9,284.85 : x
  2. Step 2: Convert to fraction form
    16,838.37/23,235.71 = 9,284.85/x
  3. Step 3: Cross multiply
    16,838.37x = 23,235.71 × 9,284.85
  4. Step 4: Simplify right side
    16,838.37x = 215,740,035.57
  5. Step 5: Solve for x
    x = 215,740,035.57/16,838.37
  6. Step 6: Final answer
    x = 12,812.41

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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.