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Finding the Fourth Proportional to 14,443.86, 21,668.82 and 8,206.76

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Solution

The fourth proportional to 14,443.86, 21,668.82 and 8,206.76 is: 12,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.86 : 21,668.82 = 8,206.76 : x
  2. Step 2: Convert to fraction form
    14,443.86/21,668.82 = 8,206.76/x
  3. Step 3: Cross multiply
    14,443.86x = 21,668.82 × 8,206.76
  4. Step 4: Simplify right side
    14,443.86x = 177,830,805.22
  5. Step 5: Solve for x
    x = 177,830,805.22/14,443.86
  6. Step 6: Final answer
    x = 12,311.86

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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.