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Finding the Fourth Proportional to 12,419.57, 17,139.05 and 7,114.43

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Solution

The fourth proportional to 12,419.57, 17,139.05 and 7,114.43 is: 9,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.57 : 17,139.05 = 7,114.43 : x
  2. Step 2: Convert to fraction form
    12,419.57/17,139.05 = 7,114.43/x
  3. Step 3: Cross multiply
    12,419.57x = 17,139.05 × 7,114.43
  4. Step 4: Simplify right side
    12,419.57x = 121,934,450.22
  5. Step 5: Solve for x
    x = 121,934,450.22/12,419.57
  6. Step 6: Final answer
    x = 9,817.93

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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.