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Finding the Fourth Proportional to 24,632.76, 36,954 and 7,989.72

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Solution

The fourth proportional to 24,632.76, 36,954 and 7,989.72 is: 11,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.76 : 36,954 = 7,989.72 : x
  2. Step 2: Convert to fraction form
    24,632.76/36,954 = 7,989.72/x
  3. Step 3: Cross multiply
    24,632.76x = 36,954 × 7,989.72
  4. Step 4: Simplify right side
    24,632.76x = 295,252,112.88
  5. Step 5: Solve for x
    x = 295,252,112.88/24,632.76
  6. Step 6: Final answer
    x = 11,986.16

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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.