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Finding the Fourth Proportional to 18,580.67, 25,641.25 and 10,082.82

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Solution

The fourth proportional to 18,580.67, 25,641.25 and 10,082.82 is: 13,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.67 : 25,641.25 = 10,082.82 : x
  2. Step 2: Convert to fraction form
    18,580.67/25,641.25 = 10,082.82/x
  3. Step 3: Cross multiply
    18,580.67x = 25,641.25 × 10,082.82
  4. Step 4: Simplify right side
    18,580.67x = 258,536,083.12
  5. Step 5: Solve for x
    x = 258,536,083.12/18,580.67
  6. Step 6: Final answer
    x = 13,914.25

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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.