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Finding the Fourth Proportional to 30,930.69, 46,400.76 and 11,213.85

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Solution

The fourth proportional to 30,930.69, 46,400.76 and 11,213.85 is: 16,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.69 : 46,400.76 = 11,213.85 : x
  2. Step 2: Convert to fraction form
    30,930.69/46,400.76 = 11,213.85/x
  3. Step 3: Cross multiply
    30,930.69x = 46,400.76 × 11,213.85
  4. Step 4: Simplify right side
    30,930.69x = 520,331,162.53
  5. Step 5: Solve for x
    x = 520,331,162.53/30,930.69
  6. Step 6: Final answer
    x = 16,822.49

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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.