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Finding the Fourth Proportional to 25,362.11, 38,042.26 and 7,831.96

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Solution

The fourth proportional to 25,362.11, 38,042.26 and 7,831.96 is: 11,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.11 : 38,042.26 = 7,831.96 : x
  2. Step 2: Convert to fraction form
    25,362.11/38,042.26 = 7,831.96/x
  3. Step 3: Cross multiply
    25,362.11x = 38,042.26 × 7,831.96
  4. Step 4: Simplify right side
    25,362.11x = 297,945,343.94
  5. Step 5: Solve for x
    x = 297,945,343.94/25,362.11
  6. Step 6: Final answer
    x = 11,747.65

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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.