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Finding the Fourth Proportional to 14,814.42, 20,436.92 and 10,566.42

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Solution

The fourth proportional to 14,814.42, 20,436.92 and 10,566.42 is: 14,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.42 : 20,436.92 = 10,566.42 : x
  2. Step 2: Convert to fraction form
    14,814.42/20,436.92 = 10,566.42/x
  3. Step 3: Cross multiply
    14,814.42x = 20,436.92 × 10,566.42
  4. Step 4: Simplify right side
    14,814.42x = 215,945,080.23
  5. Step 5: Solve for x
    x = 215,945,080.23/14,814.42
  6. Step 6: Final answer
    x = 14,576.68

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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.