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Finding the Fourth Proportional to 30,930.84, 46,396.26 and 11,209.43

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Solution

The fourth proportional to 30,930.84, 46,396.26 and 11,209.43 is: 16,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.84 : 46,396.26 = 11,209.43 : x
  2. Step 2: Convert to fraction form
    30,930.84/46,396.26 = 11,209.43/x
  3. Step 3: Cross multiply
    30,930.84x = 46,396.26 × 11,209.43
  4. Step 4: Simplify right side
    30,930.84x = 520,075,396.75
  5. Step 5: Solve for x
    x = 520,075,396.75/30,930.84
  6. Step 6: Final answer
    x = 16,814.14

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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.