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Finding the Fourth Proportional to 12,336, 17,022.39 and 7,299.24

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Solution

The fourth proportional to 12,336, 17,022.39 and 7,299.24 is: 10,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336 : 17,022.39 = 7,299.24 : x
  2. Step 2: Convert to fraction form
    12,336/17,022.39 = 7,299.24/x
  3. Step 3: Cross multiply
    12,336x = 17,022.39 × 7,299.24
  4. Step 4: Simplify right side
    12,336x = 124,250,509.98
  5. Step 5: Solve for x
    x = 124,250,509.98/12,336
  6. Step 6: Final answer
    x = 10,072.19

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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.