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Finding the Fourth Proportional to 23,783.10, 35,676.36 and 8,200.50

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Solution

The fourth proportional to 23,783.10, 35,676.36 and 8,200.50 is: 12,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.10 : 35,676.36 = 8,200.50 : x
  2. Step 2: Convert to fraction form
    23,783.10/35,676.36 = 8,200.50/x
  3. Step 3: Cross multiply
    23,783.10x = 35,676.36 × 8,200.50
  4. Step 4: Simplify right side
    23,783.10x = 292,563,990.18
  5. Step 5: Solve for x
    x = 292,563,990.18/23,783.10
  6. Step 6: Final answer
    x = 12,301.34

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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.