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Finding the Fourth Proportional to 20,806.98, 28,711.42 and 12,309.42

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Solution

The fourth proportional to 20,806.98, 28,711.42 and 12,309.42 is: 16,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.98 : 28,711.42 = 12,309.42 : x
  2. Step 2: Convert to fraction form
    20,806.98/28,711.42 = 12,309.42/x
  3. Step 3: Cross multiply
    20,806.98x = 28,711.42 × 12,309.42
  4. Step 4: Simplify right side
    20,806.98x = 353,420,927.58
  5. Step 5: Solve for x
    x = 353,420,927.58/20,806.98
  6. Step 6: Final answer
    x = 16,985.69

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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.