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Finding the Fourth Proportional to 12,057.30, 18,102.15 and 7,683.30

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Solution

The fourth proportional to 12,057.30, 18,102.15 and 7,683.30 is: 11,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.30 : 18,102.15 = 7,683.30 : x
  2. Step 2: Convert to fraction form
    12,057.30/18,102.15 = 7,683.30/x
  3. Step 3: Cross multiply
    12,057.30x = 18,102.15 × 7,683.30
  4. Step 4: Simplify right side
    12,057.30x = 139,084,249.10
  5. Step 5: Solve for x
    x = 139,084,249.10/12,057.30
  6. Step 6: Final answer
    x = 11,535.27

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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.