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Finding the Fourth Proportional to 24,475.82, 36,716.18 and 7,831.67

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Solution

The fourth proportional to 24,475.82, 36,716.18 and 7,831.67 is: 11,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.82 : 36,716.18 = 7,831.67 : x
  2. Step 2: Convert to fraction form
    24,475.82/36,716.18 = 7,831.67/x
  3. Step 3: Cross multiply
    24,475.82x = 36,716.18 × 7,831.67
  4. Step 4: Simplify right side
    24,475.82x = 287,548,782.68
  5. Step 5: Solve for x
    x = 287,548,782.68/24,475.82
  6. Step 6: Final answer
    x = 11,748.28

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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.