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Finding the Fourth Proportional to 12,201.30, 16,838.16 and 6,823.60

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Solution

The fourth proportional to 12,201.30, 16,838.16 and 6,823.60 is: 9,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.30 : 16,838.16 = 6,823.60 : x
  2. Step 2: Convert to fraction form
    12,201.30/16,838.16 = 6,823.60/x
  3. Step 3: Cross multiply
    12,201.30x = 16,838.16 × 6,823.60
  4. Step 4: Simplify right side
    12,201.30x = 114,896,868.58
  5. Step 5: Solve for x
    x = 114,896,868.58/12,201.30
  6. Step 6: Final answer
    x = 9,416.77

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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.