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Finding the Fourth Proportional to 20,830.19, 31,245.41 and 8,518.19

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Solution

The fourth proportional to 20,830.19, 31,245.41 and 8,518.19 is: 12,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.19 : 31,245.41 = 8,518.19 : x
  2. Step 2: Convert to fraction form
    20,830.19/31,245.41 = 8,518.19/x
  3. Step 3: Cross multiply
    20,830.19x = 31,245.41 × 8,518.19
  4. Step 4: Simplify right side
    20,830.19x = 266,154,339.01
  5. Step 5: Solve for x
    x = 266,154,339.01/20,830.19
  6. Step 6: Final answer
    x = 12,777.34

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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.