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Finding the Fourth Proportional to 19,969.16, 27,557.94 and 12,314.12

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Solution

The fourth proportional to 19,969.16, 27,557.94 and 12,314.12 is: 16,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.16 : 27,557.94 = 12,314.12 : x
  2. Step 2: Convert to fraction form
    19,969.16/27,557.94 = 12,314.12/x
  3. Step 3: Cross multiply
    19,969.16x = 27,557.94 × 12,314.12
  4. Step 4: Simplify right side
    19,969.16x = 339,351,780.11
  5. Step 5: Solve for x
    x = 339,351,780.11/19,969.16
  6. Step 6: Final answer
    x = 16,993.79

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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.