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Finding the Fourth Proportional to 17,077.96, 23,559.42 and 9,907.84

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Solution

The fourth proportional to 17,077.96, 23,559.42 and 9,907.84 is: 13,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.96 : 23,559.42 = 9,907.84 : x
  2. Step 2: Convert to fraction form
    17,077.96/23,559.42 = 9,907.84/x
  3. Step 3: Cross multiply
    17,077.96x = 23,559.42 × 9,907.84
  4. Step 4: Simplify right side
    17,077.96x = 233,422,963.85
  5. Step 5: Solve for x
    x = 233,422,963.85/17,077.96
  6. Step 6: Final answer
    x = 13,668.08

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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.