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Finding the Fourth Proportional to 12,333.77, 18,383.41 and 11,633.17

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Solution

The fourth proportional to 12,333.77, 18,383.41 and 11,633.17 is: 17,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.77 : 18,383.41 = 11,633.17 : x
  2. Step 2: Convert to fraction form
    12,333.77/18,383.41 = 11,633.17/x
  3. Step 3: Cross multiply
    12,333.77x = 18,383.41 × 11,633.17
  4. Step 4: Simplify right side
    12,333.77x = 213,857,271.32
  5. Step 5: Solve for x
    x = 213,857,271.32/12,333.77
  6. Step 6: Final answer
    x = 17,339.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.