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Finding the Fourth Proportional to 20,803.80, 31,140.90 and 12,012.60

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Solution

The fourth proportional to 20,803.80, 31,140.90 and 12,012.60 is: 17,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.80 : 31,140.90 = 12,012.60 : x
  2. Step 2: Convert to fraction form
    20,803.80/31,140.90 = 12,012.60/x
  3. Step 3: Cross multiply
    20,803.80x = 31,140.90 × 12,012.60
  4. Step 4: Simplify right side
    20,803.80x = 374,083,175.34
  5. Step 5: Solve for x
    x = 374,083,175.34/20,803.80
  6. Step 6: Final answer
    x = 17,981.48

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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.