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Finding the Fourth Proportional to 24,488.50, 36,735.36 and 7,842.58

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Solution

The fourth proportional to 24,488.50, 36,735.36 and 7,842.58 is: 11,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.50 : 36,735.36 = 7,842.58 : x
  2. Step 2: Convert to fraction form
    24,488.50/36,735.36 = 7,842.58/x
  3. Step 3: Cross multiply
    24,488.50x = 36,735.36 × 7,842.58
  4. Step 4: Simplify right side
    24,488.50x = 288,099,999.63
  5. Step 5: Solve for x
    x = 288,099,999.63/24,488.50
  6. Step 6: Final answer
    x = 11,764.71

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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.