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Finding the Fourth Proportional to 13,082.90, 18,054.46 and 7,114.60

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Solution

The fourth proportional to 13,082.90, 18,054.46 and 7,114.60 is: 9,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.90 : 18,054.46 = 7,114.60 : x
  2. Step 2: Convert to fraction form
    13,082.90/18,054.46 = 7,114.60/x
  3. Step 3: Cross multiply
    13,082.90x = 18,054.46 × 7,114.60
  4. Step 4: Simplify right side
    13,082.90x = 128,450,261.12
  5. Step 5: Solve for x
    x = 128,450,261.12/13,082.90
  6. Step 6: Final answer
    x = 9,818.18

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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.