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Finding the Fourth Proportional to 14,651.76, 20,223.06 and 8,367.78

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Solution

The fourth proportional to 14,651.76, 20,223.06 and 8,367.78 is: 11,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.76 : 20,223.06 = 8,367.78 : x
  2. Step 2: Convert to fraction form
    14,651.76/20,223.06 = 8,367.78/x
  3. Step 3: Cross multiply
    14,651.76x = 20,223.06 × 8,367.78
  4. Step 4: Simplify right side
    14,651.76x = 169,222,117.01
  5. Step 5: Solve for x
    x = 169,222,117.01/14,651.76
  6. Step 6: Final answer
    x = 11,549.61

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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.