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Finding the Fourth Proportional to 26,047.54, 39,073.74 and 8,519.14

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Solution

The fourth proportional to 26,047.54, 39,073.74 and 8,519.14 is: 12,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,047.54 : 39,073.74 = 8,519.14 : x
  2. Step 2: Convert to fraction form
    26,047.54/39,073.74 = 8,519.14/x
  3. Step 3: Cross multiply
    26,047.54x = 39,073.74 × 8,519.14
  4. Step 4: Simplify right side
    26,047.54x = 332,874,661.38
  5. Step 5: Solve for x
    x = 332,874,661.38/26,047.54
  6. Step 6: Final answer
    x = 12,779.50

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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.