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Finding the Fourth Proportional to 12,420.69, 17,140.11 and 7,114.48

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Solution

The fourth proportional to 12,420.69, 17,140.11 and 7,114.48 is: 9,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.69 : 17,140.11 = 7,114.48 : x
  2. Step 2: Convert to fraction form
    12,420.69/17,140.11 = 7,114.48/x
  3. Step 3: Cross multiply
    12,420.69x = 17,140.11 × 7,114.48
  4. Step 4: Simplify right side
    12,420.69x = 121,942,996.68
  5. Step 5: Solve for x
    x = 121,942,996.68/12,420.69
  6. Step 6: Final answer
    x = 9,817.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.