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Finding the Fourth Proportional to 17,842.56, 26,765.37 and 4,695

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Solution

The fourth proportional to 17,842.56, 26,765.37 and 4,695 is: 7,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.56 : 26,765.37 = 4,695 : x
  2. Step 2: Convert to fraction form
    17,842.56/26,765.37 = 4,695/x
  3. Step 3: Cross multiply
    17,842.56x = 26,765.37 × 4,695
  4. Step 4: Simplify right side
    17,842.56x = 125,663,412.15
  5. Step 5: Solve for x
    x = 125,663,412.15/17,842.56
  6. Step 6: Final answer
    x = 7,042.90

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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.