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Finding the Fourth Proportional to 30,924.63, 46,386.82 and 11,198.57

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Solution

The fourth proportional to 30,924.63, 46,386.82 and 11,198.57 is: 16,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.63 : 46,386.82 = 11,198.57 : x
  2. Step 2: Convert to fraction form
    30,924.63/46,386.82 = 11,198.57/x
  3. Step 3: Cross multiply
    30,924.63x = 46,386.82 × 11,198.57
  4. Step 4: Simplify right side
    30,924.63x = 519,466,050.85
  5. Step 5: Solve for x
    x = 519,466,050.85/30,924.63
  6. Step 6: Final answer
    x = 16,797.81

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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.