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Finding the Fourth Proportional to 17,379.80, 23,984.49 and 9,825.68

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Solution

The fourth proportional to 17,379.80, 23,984.49 and 9,825.68 is: 13,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,379.80 : 23,984.49 = 9,825.68 : x
  2. Step 2: Convert to fraction form
    17,379.80/23,984.49 = 9,825.68/x
  3. Step 3: Cross multiply
    17,379.80x = 23,984.49 × 9,825.68
  4. Step 4: Simplify right side
    17,379.80x = 235,663,803.78
  5. Step 5: Solve for x
    x = 235,663,803.78/17,379.80
  6. Step 6: Final answer
    x = 13,559.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.