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Finding the Fourth Proportional to 12,223.04, 16,863.93 and 8,446.41

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Solution

The fourth proportional to 12,223.04, 16,863.93 and 8,446.41 is: 11,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.04 : 16,863.93 = 8,446.41 : x
  2. Step 2: Convert to fraction form
    12,223.04/16,863.93 = 8,446.41/x
  3. Step 3: Cross multiply
    12,223.04x = 16,863.93 × 8,446.41
  4. Step 4: Simplify right side
    12,223.04x = 142,439,666.99
  5. Step 5: Solve for x
    x = 142,439,666.99/12,223.04
  6. Step 6: Final answer
    x = 11,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.