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Finding the Fourth Proportional to 25,205.86, 37,808.79 and 7,675.69

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Solution

The fourth proportional to 25,205.86, 37,808.79 and 7,675.69 is: 11,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.86 : 37,808.79 = 7,675.69 : x
  2. Step 2: Convert to fraction form
    25,205.86/37,808.79 = 7,675.69/x
  3. Step 3: Cross multiply
    25,205.86x = 37,808.79 × 7,675.69
  4. Step 4: Simplify right side
    25,205.86x = 290,208,323.89
  5. Step 5: Solve for x
    x = 290,208,323.89/25,205.86
  6. Step 6: Final answer
    x = 11,513.53

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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.