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Finding the Fourth Proportional to 21,794.31, 30,074.81 and 12,235.50

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Solution

The fourth proportional to 21,794.31, 30,074.81 and 12,235.50 is: 16,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.31 : 30,074.81 = 12,235.50 : x
  2. Step 2: Convert to fraction form
    21,794.31/30,074.81 = 12,235.50/x
  3. Step 3: Cross multiply
    21,794.31x = 30,074.81 × 12,235.50
  4. Step 4: Simplify right side
    21,794.31x = 367,980,276.58
  5. Step 5: Solve for x
    x = 367,980,276.58/21,794.31
  6. Step 6: Final answer
    x = 16,884.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.