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Finding the Fourth Proportional to 24,312.89, 36,469.32 and 7,896.89

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Solution

The fourth proportional to 24,312.89, 36,469.32 and 7,896.89 is: 11,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.89 : 36,469.32 = 7,896.89 : x
  2. Step 2: Convert to fraction form
    24,312.89/36,469.32 = 7,896.89/x
  3. Step 3: Cross multiply
    24,312.89x = 36,469.32 × 7,896.89
  4. Step 4: Simplify right side
    24,312.89x = 287,994,208.41
  5. Step 5: Solve for x
    x = 287,994,208.41/24,312.89
  6. Step 6: Final answer
    x = 11,845.33

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1.5x scale

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.