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Finding the Fourth Proportional to 14,527.76, 20,080.31 and 10,576.58

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Solution

The fourth proportional to 14,527.76, 20,080.31 and 10,576.58 is: 14,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.76 : 20,080.31 = 10,576.58 : x
  2. Step 2: Convert to fraction form
    14,527.76/20,080.31 = 10,576.58/x
  3. Step 3: Cross multiply
    14,527.76x = 20,080.31 × 10,576.58
  4. Step 4: Simplify right side
    14,527.76x = 212,380,851.86
  5. Step 5: Solve for x
    x = 212,380,851.86/14,527.76
  6. Step 6: Final answer
    x = 14,618.97

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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.