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Finding the Fourth Proportional to 17,311.04, 23,890.88 and 11,023

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Solution

The fourth proportional to 17,311.04, 23,890.88 and 11,023 is: 15,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.04 : 23,890.88 = 11,023 : x
  2. Step 2: Convert to fraction form
    17,311.04/23,890.88 = 11,023/x
  3. Step 3: Cross multiply
    17,311.04x = 23,890.88 × 11,023
  4. Step 4: Simplify right side
    17,311.04x = 263,349,170.24
  5. Step 5: Solve for x
    x = 263,349,170.24/17,311.04
  6. Step 6: Final answer
    x = 15,212.79

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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.