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Finding the Fourth Proportional to 13,082.48, 18,053.75 and 7,114.04

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Solution

The fourth proportional to 13,082.48, 18,053.75 and 7,114.04 is: 9,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.48 : 18,053.75 = 7,114.04 : x
  2. Step 2: Convert to fraction form
    13,082.48/18,053.75 = 7,114.04/x
  3. Step 3: Cross multiply
    13,082.48x = 18,053.75 × 7,114.04
  4. Step 4: Simplify right side
    13,082.48x = 128,434,973.81
  5. Step 5: Solve for x
    x = 128,434,973.81/13,082.48
  6. Step 6: Final answer
    x = 9,817.33

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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.