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Finding the Fourth Proportional to 18,114.90, 27,175.05 and 6,427.14

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Solution

The fourth proportional to 18,114.90, 27,175.05 and 6,427.14 is: 9,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.90 : 27,175.05 = 6,427.14 : x
  2. Step 2: Convert to fraction form
    18,114.90/27,175.05 = 6,427.14/x
  3. Step 3: Cross multiply
    18,114.90x = 27,175.05 × 6,427.14
  4. Step 4: Simplify right side
    18,114.90x = 174,657,850.86
  5. Step 5: Solve for x
    x = 174,657,850.86/18,114.90
  6. Step 6: Final answer
    x = 9,641.67

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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.