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Finding the Fourth Proportional to 18,702.57, 25,809.62 and 10,204.89

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Solution

The fourth proportional to 18,702.57, 25,809.62 and 10,204.89 is: 14,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.57 : 25,809.62 = 10,204.89 : x
  2. Step 2: Convert to fraction form
    18,702.57/25,809.62 = 10,204.89/x
  3. Step 3: Cross multiply
    18,702.57x = 25,809.62 × 10,204.89
  4. Step 4: Simplify right side
    18,702.57x = 263,384,333.04
  5. Step 5: Solve for x
    x = 263,384,333.04/18,702.57
  6. Step 6: Final answer
    x = 14,082.79

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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.