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Finding the Fourth Proportional to 24,265.28, 36,396.64 and 7,848

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Solution

The fourth proportional to 24,265.28, 36,396.64 and 7,848 is: 11,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.28 : 36,396.64 = 7,848 : x
  2. Step 2: Convert to fraction form
    24,265.28/36,396.64 = 7,848/x
  3. Step 3: Cross multiply
    24,265.28x = 36,396.64 × 7,848
  4. Step 4: Simplify right side
    24,265.28x = 285,640,830.72
  5. Step 5: Solve for x
    x = 285,640,830.72/24,265.28
  6. Step 6: Final answer
    x = 11,771.59

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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.