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Finding the Fourth Proportional to 24,388.70, 36,579.23 and 7,746.54

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Solution

The fourth proportional to 24,388.70, 36,579.23 and 7,746.54 is: 11,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.70 : 36,579.23 = 7,746.54 : x
  2. Step 2: Convert to fraction form
    24,388.70/36,579.23 = 7,746.54/x
  3. Step 3: Cross multiply
    24,388.70x = 36,579.23 × 7,746.54
  4. Step 4: Simplify right side
    24,388.70x = 283,362,487.73
  5. Step 5: Solve for x
    x = 283,362,487.73/24,388.70
  6. Step 6: Final answer
    x = 11,618.60

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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.