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Finding the Fourth Proportional to 20,680.40, 31,030.20 and 10,830.80

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Solution

The fourth proportional to 20,680.40, 31,030.20 and 10,830.80 is: 16,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680.40 : 31,030.20 = 10,830.80 : x
  2. Step 2: Convert to fraction form
    20,680.40/31,030.20 = 10,830.80/x
  3. Step 3: Cross multiply
    20,680.40x = 31,030.20 × 10,830.80
  4. Step 4: Simplify right side
    20,680.40x = 336,081,890.16
  5. Step 5: Solve for x
    x = 336,081,890.16/20,680.40
  6. Step 6: Final answer
    x = 16,251.23

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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.