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Finding the Fourth Proportional to 14,976.84, 20,668.25 and 8,262.75

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Solution

The fourth proportional to 14,976.84, 20,668.25 and 8,262.75 is: 11,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976.84 : 20,668.25 = 8,262.75 : x
  2. Step 2: Convert to fraction form
    14,976.84/20,668.25 = 8,262.75/x
  3. Step 3: Cross multiply
    14,976.84x = 20,668.25 × 8,262.75
  4. Step 4: Simplify right side
    14,976.84x = 170,776,582.69
  5. Step 5: Solve for x
    x = 170,776,582.69/14,976.84
  6. Step 6: Final answer
    x = 11,402.71

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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.