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Finding the Fourth Proportional to 17,435.80, 26,164.50 and 7,047.64

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Solution

The fourth proportional to 17,435.80, 26,164.50 and 7,047.64 is: 10,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.80 : 26,164.50 = 7,047.64 : x
  2. Step 2: Convert to fraction form
    17,435.80/26,164.50 = 7,047.64/x
  3. Step 3: Cross multiply
    17,435.80x = 26,164.50 × 7,047.64
  4. Step 4: Simplify right side
    17,435.80x = 184,397,976.78
  5. Step 5: Solve for x
    x = 184,397,976.78/17,435.80
  6. Step 6: Final answer
    x = 10,575.83

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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.