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Finding the Fourth Proportional to 13,007.90, 17,959.67 and 8,539.23

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Solution

The fourth proportional to 13,007.90, 17,959.67 and 8,539.23 is: 11,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.90 : 17,959.67 = 8,539.23 : x
  2. Step 2: Convert to fraction form
    13,007.90/17,959.67 = 8,539.23/x
  3. Step 3: Cross multiply
    13,007.90x = 17,959.67 × 8,539.23
  4. Step 4: Simplify right side
    13,007.90x = 153,361,674.83
  5. Step 5: Solve for x
    x = 153,361,674.83/13,007.90
  6. Step 6: Final answer
    x = 11,789.89

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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.