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Finding the Fourth Proportional to 24,332.44, 36,495.90 and 7,692.52

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Solution

The fourth proportional to 24,332.44, 36,495.90 and 7,692.52 is: 11,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.44 : 36,495.90 = 7,692.52 : x
  2. Step 2: Convert to fraction form
    24,332.44/36,495.90 = 7,692.52/x
  3. Step 3: Cross multiply
    24,332.44x = 36,495.90 × 7,692.52
  4. Step 4: Simplify right side
    24,332.44x = 280,745,440.67
  5. Step 5: Solve for x
    x = 280,745,440.67/24,332.44
  6. Step 6: Final answer
    x = 11,537.91

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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.