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Finding the Fourth Proportional to 24,977.67, 37,480.67 and 9,180.64

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Solution

The fourth proportional to 24,977.67, 37,480.67 and 9,180.64 is: 13,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.67 : 37,480.67 = 9,180.64 : x
  2. Step 2: Convert to fraction form
    24,977.67/37,480.67 = 9,180.64/x
  3. Step 3: Cross multiply
    24,977.67x = 37,480.67 × 9,180.64
  4. Step 4: Simplify right side
    24,977.67x = 344,096,573.60
  5. Step 5: Solve for x
    x = 344,096,573.60/24,977.67
  6. Step 6: Final answer
    x = 13,776.17

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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.