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Finding the Fourth Proportional to 18,835.85, 28,242.83 and 7,142.69

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Solution

The fourth proportional to 18,835.85, 28,242.83 and 7,142.69 is: 10,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835.85 : 28,242.83 = 7,142.69 : x
  2. Step 2: Convert to fraction form
    18,835.85/28,242.83 = 7,142.69/x
  3. Step 3: Cross multiply
    18,835.85x = 28,242.83 × 7,142.69
  4. Step 4: Simplify right side
    18,835.85x = 201,729,779.41
  5. Step 5: Solve for x
    x = 201,729,779.41/18,835.85
  6. Step 6: Final answer
    x = 10,709.88

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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.