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Finding the Fourth Proportional to 12,055.90, 16,626.04 and 8,272.39

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Solution

The fourth proportional to 12,055.90, 16,626.04 and 8,272.39 is: 11,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.90 : 16,626.04 = 8,272.39 : x
  2. Step 2: Convert to fraction form
    12,055.90/16,626.04 = 8,272.39/x
  3. Step 3: Cross multiply
    12,055.90x = 16,626.04 × 8,272.39
  4. Step 4: Simplify right side
    12,055.90x = 137,537,087.04
  5. Step 5: Solve for x
    x = 137,537,087.04/12,055.90
  6. Step 6: Final answer
    x = 11,408.28

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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.