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Finding the Fourth Proportional to 12,314.19, 16,992.27 and 7,278.63

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Solution

The fourth proportional to 12,314.19, 16,992.27 and 7,278.63 is: 10,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.19 : 16,992.27 = 7,278.63 : x
  2. Step 2: Convert to fraction form
    12,314.19/16,992.27 = 7,278.63/x
  3. Step 3: Cross multiply
    12,314.19x = 16,992.27 × 7,278.63
  4. Step 4: Simplify right side
    12,314.19x = 123,680,446.19
  5. Step 5: Solve for x
    x = 123,680,446.19/12,314.19
  6. Step 6: Final answer
    x = 10,043.73

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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.