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Finding the Fourth Proportional to 25,674.76, 38,514.30 and 9,033.04

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Solution

The fourth proportional to 25,674.76, 38,514.30 and 9,033.04 is: 13,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.76 : 38,514.30 = 9,033.04 : x
  2. Step 2: Convert to fraction form
    25,674.76/38,514.30 = 9,033.04/x
  3. Step 3: Cross multiply
    25,674.76x = 38,514.30 × 9,033.04
  4. Step 4: Simplify right side
    25,674.76x = 347,901,212.47
  5. Step 5: Solve for x
    x = 347,901,212.47/25,674.76
  6. Step 6: Final answer
    x = 13,550.32

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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.