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Finding the Fourth Proportional to 12,113.50, 18,170.25 and 3,905.50

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Solution

The fourth proportional to 12,113.50, 18,170.25 and 3,905.50 is: 5,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.50 : 18,170.25 = 3,905.50 : x
  2. Step 2: Convert to fraction form
    12,113.50/18,170.25 = 3,905.50/x
  3. Step 3: Cross multiply
    12,113.50x = 18,170.25 × 3,905.50
  4. Step 4: Simplify right side
    12,113.50x = 70,963,911.38
  5. Step 5: Solve for x
    x = 70,963,911.38/12,113.50
  6. Step 6: Final answer
    x = 5,858.25

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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.