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Finding the Fourth Proportional to 21,211.77, 31,804.58 and 7,170.48

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Solution

The fourth proportional to 21,211.77, 31,804.58 and 7,170.48 is: 10,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.77 : 31,804.58 = 7,170.48 : x
  2. Step 2: Convert to fraction form
    21,211.77/31,804.58 = 7,170.48/x
  3. Step 3: Cross multiply
    21,211.77x = 31,804.58 × 7,170.48
  4. Step 4: Simplify right side
    21,211.77x = 228,054,104.80
  5. Step 5: Solve for x
    x = 228,054,104.80/21,211.77
  6. Step 6: Final answer
    x = 10,751.30

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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.