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Finding the Fourth Proportional to 18,453.64, 27,684.54 and 5,305

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Solution

The fourth proportional to 18,453.64, 27,684.54 and 5,305 is: 7,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,453.64 : 27,684.54 = 5,305 : x
  2. Step 2: Convert to fraction form
    18,453.64/27,684.54 = 5,305/x
  3. Step 3: Cross multiply
    18,453.64x = 27,684.54 × 5,305
  4. Step 4: Simplify right side
    18,453.64x = 146,866,484.70
  5. Step 5: Solve for x
    x = 146,866,484.70/18,453.64
  6. Step 6: Final answer
    x = 7,958.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.