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Finding the Fourth Proportional to 14,796.21, 20,405.24 and 11,566.46

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Solution

The fourth proportional to 14,796.21, 20,405.24 and 11,566.46 is: 15,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.21 : 20,405.24 = 11,566.46 : x
  2. Step 2: Convert to fraction form
    14,796.21/20,405.24 = 11,566.46/x
  3. Step 3: Cross multiply
    14,796.21x = 20,405.24 × 11,566.46
  4. Step 4: Simplify right side
    14,796.21x = 236,016,290.22
  5. Step 5: Solve for x
    x = 236,016,290.22/14,796.21
  6. Step 6: Final answer
    x = 15,951.13

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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.