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Finding the Fourth Proportional to 17,765.67, 26,643.86 and 5,282.33

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Solution

The fourth proportional to 17,765.67, 26,643.86 and 5,282.33 is: 7,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.67 : 26,643.86 = 5,282.33 : x
  2. Step 2: Convert to fraction form
    17,765.67/26,643.86 = 5,282.33/x
  3. Step 3: Cross multiply
    17,765.67x = 26,643.86 × 5,282.33
  4. Step 4: Simplify right side
    17,765.67x = 140,741,740.81
  5. Step 5: Solve for x
    x = 140,741,740.81/17,765.67
  6. Step 6: Final answer
    x = 7,922.12

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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.