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Finding the Fourth Proportional to 24,633.58, 36,965.10 and 9,052.78

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Solution

The fourth proportional to 24,633.58, 36,965.10 and 9,052.78 is: 13,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.58 : 36,965.10 = 9,052.78 : x
  2. Step 2: Convert to fraction form
    24,633.58/36,965.10 = 9,052.78/x
  3. Step 3: Cross multiply
    24,633.58x = 36,965.10 × 9,052.78
  4. Step 4: Simplify right side
    24,633.58x = 334,636,917.98
  5. Step 5: Solve for x
    x = 334,636,917.98/24,633.58
  6. Step 6: Final answer
    x = 13,584.58

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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.