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Finding the Fourth Proportional to 18,702.25, 25,809.60 and 10,204.51

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Solution

The fourth proportional to 18,702.25, 25,809.60 and 10,204.51 is: 14,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.25 : 25,809.60 = 10,204.51 : x
  2. Step 2: Convert to fraction form
    18,702.25/25,809.60 = 10,204.51/x
  3. Step 3: Cross multiply
    18,702.25x = 25,809.60 × 10,204.51
  4. Step 4: Simplify right side
    18,702.25x = 263,374,321.30
  5. Step 5: Solve for x
    x = 263,374,321.30/18,702.25
  6. Step 6: Final answer
    x = 14,082.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.