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Finding the Fourth Proportional to 11,314.56, 16,845.12 and 11,259.84

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Solution

The fourth proportional to 11,314.56, 16,845.12 and 11,259.84 is: 16,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.56 : 16,845.12 = 11,259.84 : x
  2. Step 2: Convert to fraction form
    11,314.56/16,845.12 = 11,259.84/x
  3. Step 3: Cross multiply
    11,314.56x = 16,845.12 × 11,259.84
  4. Step 4: Simplify right side
    11,314.56x = 189,673,355.98
  5. Step 5: Solve for x
    x = 189,673,355.98/11,314.56
  6. Step 6: Final answer
    x = 16,763.65

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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.