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Finding the Fourth Proportional to 12,288.56, 16,822.54 and 12,200.72

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Solution

The fourth proportional to 12,288.56, 16,822.54 and 12,200.72 is: 16,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.56 : 16,822.54 = 12,200.72 : x
  2. Step 2: Convert to fraction form
    12,288.56/16,822.54 = 12,200.72/x
  3. Step 3: Cross multiply
    12,288.56x = 16,822.54 × 12,200.72
  4. Step 4: Simplify right side
    12,288.56x = 205,247,100.23
  5. Step 5: Solve for x
    x = 205,247,100.23/12,288.56
  6. Step 6: Final answer
    x = 16,702.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.