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Finding the Fourth Proportional to 23,779.12, 35,674.26 and 7,138.84

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Solution

The fourth proportional to 23,779.12, 35,674.26 and 7,138.84 is: 10,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.12 : 35,674.26 = 7,138.84 : x
  2. Step 2: Convert to fraction form
    23,779.12/35,674.26 = 7,138.84/x
  3. Step 3: Cross multiply
    23,779.12x = 35,674.26 × 7,138.84
  4. Step 4: Simplify right side
    23,779.12x = 254,672,834.26
  5. Step 5: Solve for x
    x = 254,672,834.26/23,779.12
  6. Step 6: Final answer
    x = 10,709.94

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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.