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Finding the Fourth Proportional to 18,578.38, 25,638.16 and 10,620.78

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Solution

The fourth proportional to 18,578.38, 25,638.16 and 10,620.78 is: 14,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.38 : 25,638.16 = 10,620.78 : x
  2. Step 2: Convert to fraction form
    18,578.38/25,638.16 = 10,620.78/x
  3. Step 3: Cross multiply
    18,578.38x = 25,638.16 × 10,620.78
  4. Step 4: Simplify right side
    18,578.38x = 272,297,166.32
  5. Step 5: Solve for x
    x = 272,297,166.32/18,578.38
  6. Step 6: Final answer
    x = 14,656.67

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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.