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Finding the Fourth Proportional to 26,299.53, 39,448.89 and 7,831.53

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Solution

The fourth proportional to 26,299.53, 39,448.89 and 7,831.53 is: 11,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,299.53 : 39,448.89 = 7,831.53 : x
  2. Step 2: Convert to fraction form
    26,299.53/39,448.89 = 7,831.53/x
  3. Step 3: Cross multiply
    26,299.53x = 39,448.89 × 7,831.53
  4. Step 4: Simplify right side
    26,299.53x = 308,945,165.50
  5. Step 5: Solve for x
    x = 308,945,165.50/26,299.53
  6. Step 6: Final answer
    x = 11,747.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.