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Finding the Fourth Proportional to 20,980.28, 31,462.32 and 8,497.10

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Solution

The fourth proportional to 20,980.28, 31,462.32 and 8,497.10 is: 12,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.28 : 31,462.32 = 8,497.10 : x
  2. Step 2: Convert to fraction form
    20,980.28/31,462.32 = 8,497.10/x
  3. Step 3: Cross multiply
    20,980.28x = 31,462.32 × 8,497.10
  4. Step 4: Simplify right side
    20,980.28x = 267,338,479.27
  5. Step 5: Solve for x
    x = 267,338,479.27/20,980.28
  6. Step 6: Final answer
    x = 12,742.37

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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.