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Finding the Fourth Proportional to 25,205.12, 37,813.08 and 7,676.36

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Solution

The fourth proportional to 25,205.12, 37,813.08 and 7,676.36 is: 11,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.12 : 37,813.08 = 7,676.36 : x
  2. Step 2: Convert to fraction form
    25,205.12/37,813.08 = 7,676.36/x
  3. Step 3: Cross multiply
    25,205.12x = 37,813.08 × 7,676.36
  4. Step 4: Simplify right side
    25,205.12x = 290,266,814.79
  5. Step 5: Solve for x
    x = 290,266,814.79/25,205.12
  6. Step 6: Final answer
    x = 11,516.18

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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.