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Finding the Fourth Proportional to 25,205.80, 37,814.18 and 7,675.18

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Solution

The fourth proportional to 25,205.80, 37,814.18 and 7,675.18 is: 11,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.80 : 37,814.18 = 7,675.18 : x
  2. Step 2: Convert to fraction form
    25,205.80/37,814.18 = 7,675.18/x
  3. Step 3: Cross multiply
    25,205.80x = 37,814.18 × 7,675.18
  4. Step 4: Simplify right side
    25,205.80x = 290,230,638.05
  5. Step 5: Solve for x
    x = 290,230,638.05/25,205.80
  6. Step 6: Final answer
    x = 11,514.44

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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.