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Finding the Fourth Proportional to 13,082.69, 18,053.86 and 7,114.31

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Solution

The fourth proportional to 13,082.69, 18,053.86 and 7,114.31 is: 9,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.69 : 18,053.86 = 7,114.31 : x
  2. Step 2: Convert to fraction form
    13,082.69/18,053.86 = 7,114.31/x
  3. Step 3: Cross multiply
    13,082.69x = 18,053.86 × 7,114.31
  4. Step 4: Simplify right side
    13,082.69x = 128,440,756.74
  5. Step 5: Solve for x
    x = 128,440,756.74/13,082.69
  6. Step 6: Final answer
    x = 9,817.61

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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.