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Finding the Fourth Proportional to 12,102.57, 18,157.50 and 3,783.47

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Solution

The fourth proportional to 12,102.57, 18,157.50 and 3,783.47 is: 5,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.57 : 18,157.50 = 3,783.47 : x
  2. Step 2: Convert to fraction form
    12,102.57/18,157.50 = 3,783.47/x
  3. Step 3: Cross multiply
    12,102.57x = 18,157.50 × 3,783.47
  4. Step 4: Simplify right side
    12,102.57x = 68,698,265.74
  5. Step 5: Solve for x
    x = 68,698,265.74/12,102.57
  6. Step 6: Final answer
    x = 5,676.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.