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Finding the Fourth Proportional to 40,914, 61,380.72 and 13,212

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Solution

The fourth proportional to 40,914, 61,380.72 and 13,212 is: 19,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,914 : 61,380.72 = 13,212 : x
  2. Step 2: Convert to fraction form
    40,914/61,380.72 = 13,212/x
  3. Step 3: Cross multiply
    40,914x = 61,380.72 × 13,212
  4. Step 4: Simplify right side
    40,914x = 810,962,072.64
  5. Step 5: Solve for x
    x = 810,962,072.64/40,914
  6. Step 6: Final answer
    x = 19,821.14

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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.