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Finding the Fourth Proportional to 17,324.09, 23,907.50 and 9,770.78

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Solution

The fourth proportional to 17,324.09, 23,907.50 and 9,770.78 is: 13,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.09 : 23,907.50 = 9,770.78 : x
  2. Step 2: Convert to fraction form
    17,324.09/23,907.50 = 9,770.78/x
  3. Step 3: Cross multiply
    17,324.09x = 23,907.50 × 9,770.78
  4. Step 4: Simplify right side
    17,324.09x = 233,594,922.85
  5. Step 5: Solve for x
    x = 233,594,922.85/17,324.09
  6. Step 6: Final answer
    x = 13,483.82

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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.