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Finding the Fourth Proportional to 18,767.42, 25,898.90 and 10,269.38

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Solution

The fourth proportional to 18,767.42, 25,898.90 and 10,269.38 is: 14,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,767.42 : 25,898.90 = 10,269.38 : x
  2. Step 2: Convert to fraction form
    18,767.42/25,898.90 = 10,269.38/x
  3. Step 3: Cross multiply
    18,767.42x = 25,898.90 × 10,269.38
  4. Step 4: Simplify right side
    18,767.42x = 265,965,580.93
  5. Step 5: Solve for x
    x = 265,965,580.93/18,767.42
  6. Step 6: Final answer
    x = 14,171.67

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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.