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Finding the Fourth Proportional to 12,729.40, 18,418.75 and 12,729.40

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Solution

The fourth proportional to 12,729.40, 18,418.75 and 12,729.40 is: 18,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.40 : 18,418.75 = 12,729.40 : x
  2. Step 2: Convert to fraction form
    12,729.40/18,418.75 = 12,729.40/x
  3. Step 3: Cross multiply
    12,729.40x = 18,418.75 × 12,729.40
  4. Step 4: Simplify right side
    12,729.40x = 234,459,636.25
  5. Step 5: Solve for x
    x = 234,459,636.25/12,729.40
  6. Step 6: Final answer
    x = 18,418.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.