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Finding the Fourth Proportional to 25,668.90, 38,509.09 and 9,029.48

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Solution

The fourth proportional to 25,668.90, 38,509.09 and 9,029.48 is: 13,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.90 : 38,509.09 = 9,029.48 : x
  2. Step 2: Convert to fraction form
    25,668.90/38,509.09 = 9,029.48/x
  3. Step 3: Cross multiply
    25,668.90x = 38,509.09 × 9,029.48
  4. Step 4: Simplify right side
    25,668.90x = 347,716,842.85
  5. Step 5: Solve for x
    x = 347,716,842.85/25,668.90
  6. Step 6: Final answer
    x = 13,546.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.