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Finding the Fourth Proportional to 23,505.54, 35,254.82 and 6,861.10

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Solution

The fourth proportional to 23,505.54, 35,254.82 and 6,861.10 is: 10,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.54 : 35,254.82 = 6,861.10 : x
  2. Step 2: Convert to fraction form
    23,505.54/35,254.82 = 6,861.10/x
  3. Step 3: Cross multiply
    23,505.54x = 35,254.82 × 6,861.10
  4. Step 4: Simplify right side
    23,505.54x = 241,886,845.50
  5. Step 5: Solve for x
    x = 241,886,845.50/23,505.54
  6. Step 6: Final answer
    x = 10,290.63

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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.