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Finding the Fourth Proportional to 25,198.29, 37,802.90 and 7,667.66

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Solution

The fourth proportional to 25,198.29, 37,802.90 and 7,667.66 is: 11,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.29 : 37,802.90 = 7,667.66 : x
  2. Step 2: Convert to fraction form
    25,198.29/37,802.90 = 7,667.66/x
  3. Step 3: Cross multiply
    25,198.29x = 37,802.90 × 7,667.66
  4. Step 4: Simplify right side
    25,198.29x = 289,859,556.86
  5. Step 5: Solve for x
    x = 289,859,556.86/25,198.29
  6. Step 6: Final answer
    x = 11,503.15

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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.