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Finding the Fourth Proportional to 23,778.50, 35,657.24 and 7,135.34

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Solution

The fourth proportional to 23,778.50, 35,657.24 and 7,135.34 is: 10,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.50 : 35,657.24 = 7,135.34 : x
  2. Step 2: Convert to fraction form
    23,778.50/35,657.24 = 7,135.34/x
  3. Step 3: Cross multiply
    23,778.50x = 35,657.24 × 7,135.34
  4. Step 4: Simplify right side
    23,778.50x = 254,426,672.94
  5. Step 5: Solve for x
    x = 254,426,672.94/23,778.50
  6. Step 6: Final answer
    x = 10,699.86

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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.