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Finding the Fourth Proportional to 20,779.80, 31,096.80 and 14,218.80

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Solution

The fourth proportional to 20,779.80, 31,096.80 and 14,218.80 is: 21,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.80 : 31,096.80 = 14,218.80 : x
  2. Step 2: Convert to fraction form
    20,779.80/31,096.80 = 14,218.80/x
  3. Step 3: Cross multiply
    20,779.80x = 31,096.80 × 14,218.80
  4. Step 4: Simplify right side
    20,779.80x = 442,159,179.84
  5. Step 5: Solve for x
    x = 442,159,179.84/20,779.80
  6. Step 6: Final answer
    x = 21,278.32

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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.