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Finding the Fourth Proportional to 11,751.16, 17,647.80 and 11,281.36

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Solution

The fourth proportional to 11,751.16, 17,647.80 and 11,281.36 is: 16,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.16 : 17,647.80 = 11,281.36 : x
  2. Step 2: Convert to fraction form
    11,751.16/17,647.80 = 11,281.36/x
  3. Step 3: Cross multiply
    11,751.16x = 17,647.80 × 11,281.36
  4. Step 4: Simplify right side
    11,751.16x = 199,091,185.01
  5. Step 5: Solve for x
    x = 199,091,185.01/11,751.16
  6. Step 6: Final answer
    x = 16,942.26

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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.