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Finding the Fourth Proportional to 20,771.65, 31,151.40 and 7,443.10

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Solution

The fourth proportional to 20,771.65, 31,151.40 and 7,443.10 is: 11,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.65 : 31,151.40 = 7,443.10 : x
  2. Step 2: Convert to fraction form
    20,771.65/31,151.40 = 7,443.10/x
  3. Step 3: Cross multiply
    20,771.65x = 31,151.40 × 7,443.10
  4. Step 4: Simplify right side
    20,771.65x = 231,862,985.34
  5. Step 5: Solve for x
    x = 231,862,985.34/20,771.65
  6. Step 6: Final answer
    x = 11,162.47

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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.