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Finding the Fourth Proportional to 24,469.51, 36,709.73 and 7,830.54

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Solution

The fourth proportional to 24,469.51, 36,709.73 and 7,830.54 is: 11,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.51 : 36,709.73 = 7,830.54 : x
  2. Step 2: Convert to fraction form
    24,469.51/36,709.73 = 7,830.54/x
  3. Step 3: Cross multiply
    24,469.51x = 36,709.73 × 7,830.54
  4. Step 4: Simplify right side
    24,469.51x = 287,457,009.15
  5. Step 5: Solve for x
    x = 287,457,009.15/24,469.51
  6. Step 6: Final answer
    x = 11,747.56

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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.