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Finding the Fourth Proportional to 17,609.67, 26,415.52 and 4,462.16

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Solution

The fourth proportional to 17,609.67, 26,415.52 and 4,462.16 is: 6,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.67 : 26,415.52 = 4,462.16 : x
  2. Step 2: Convert to fraction form
    17,609.67/26,415.52 = 4,462.16/x
  3. Step 3: Cross multiply
    17,609.67x = 26,415.52 × 4,462.16
  4. Step 4: Simplify right side
    17,609.67x = 117,870,133.49
  5. Step 5: Solve for x
    x = 117,870,133.49/17,609.67
  6. Step 6: Final answer
    x = 6,693.49

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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.