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Finding the Fourth Proportional to 11,946.69, 17,920.22 and 3,182.85

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Solution

The fourth proportional to 11,946.69, 17,920.22 and 3,182.85 is: 4,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.69 : 17,920.22 = 3,182.85 : x
  2. Step 2: Convert to fraction form
    11,946.69/17,920.22 = 3,182.85/x
  3. Step 3: Cross multiply
    11,946.69x = 17,920.22 × 3,182.85
  4. Step 4: Simplify right side
    11,946.69x = 57,037,356.31
  5. Step 5: Solve for x
    x = 57,037,356.31/11,946.69
  6. Step 6: Final answer
    x = 4,774.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.