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Finding the Fourth Proportional to 11,314.94, 16,912.89 and 9,822.24

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Solution

The fourth proportional to 11,314.94, 16,912.89 and 9,822.24 is: 14,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.94 : 16,912.89 = 9,822.24 : x
  2. Step 2: Convert to fraction form
    11,314.94/16,912.89 = 9,822.24/x
  3. Step 3: Cross multiply
    11,314.94x = 16,912.89 × 9,822.24
  4. Step 4: Simplify right side
    11,314.94x = 166,122,464.67
  5. Step 5: Solve for x
    x = 166,122,464.67/11,314.94
  6. Step 6: Final answer
    x = 14,681.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.