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Finding the Fourth Proportional to 27,673.50, 41,509.86 and 12,874.14

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Solution

The fourth proportional to 27,673.50, 41,509.86 and 12,874.14 is: 19,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.50 : 41,509.86 = 12,874.14 : x
  2. Step 2: Convert to fraction form
    27,673.50/41,509.86 = 12,874.14/x
  3. Step 3: Cross multiply
    27,673.50x = 41,509.86 × 12,874.14
  4. Step 4: Simplify right side
    27,673.50x = 534,403,749.02
  5. Step 5: Solve for x
    x = 534,403,749.02/27,673.50
  6. Step 6: Final answer
    x = 19,311.03

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1.5x scale

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.