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Finding the Fourth Proportional to 11,119.16, 16,697.83 and 9,872.57

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Solution

The fourth proportional to 11,119.16, 16,697.83 and 9,872.57 is: 14,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.16 : 16,697.83 = 9,872.57 : x
  2. Step 2: Convert to fraction form
    11,119.16/16,697.83 = 9,872.57/x
  3. Step 3: Cross multiply
    11,119.16x = 16,697.83 × 9,872.57
  4. Step 4: Simplify right side
    11,119.16x = 164,850,446.16
  5. Step 5: Solve for x
    x = 164,850,446.16/11,119.16
  6. Step 6: Final answer
    x = 14,825.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.