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Finding the Fourth Proportional to 13,082.64, 18,053.70 and 7,114.26

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Solution

The fourth proportional to 13,082.64, 18,053.70 and 7,114.26 is: 9,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.64 : 18,053.70 = 7,114.26 : x
  2. Step 2: Convert to fraction form
    13,082.64/18,053.70 = 7,114.26/x
  3. Step 3: Cross multiply
    13,082.64x = 18,053.70 × 7,114.26
  4. Step 4: Simplify right side
    13,082.64x = 128,438,715.76
  5. Step 5: Solve for x
    x = 128,438,715.76/13,082.64
  6. Step 6: Final answer
    x = 9,817.49

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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.