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Finding the Fourth Proportional to 17,745.38, 26,615.19 and 5,430.50

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Solution

The fourth proportional to 17,745.38, 26,615.19 and 5,430.50 is: 8,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.38 : 26,615.19 = 5,430.50 : x
  2. Step 2: Convert to fraction form
    17,745.38/26,615.19 = 5,430.50/x
  3. Step 3: Cross multiply
    17,745.38x = 26,615.19 × 5,430.50
  4. Step 4: Simplify right side
    17,745.38x = 144,533,789.30
  5. Step 5: Solve for x
    x = 144,533,789.30/17,745.38
  6. Step 6: Final answer
    x = 8,144.87

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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.