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Finding the Fourth Proportional to 20,291.40, 30,442.23 and 7,145.10

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Solution

The fourth proportional to 20,291.40, 30,442.23 and 7,145.10 is: 10,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.40 : 30,442.23 = 7,145.10 : x
  2. Step 2: Convert to fraction form
    20,291.40/30,442.23 = 7,145.10/x
  3. Step 3: Cross multiply
    20,291.40x = 30,442.23 × 7,145.10
  4. Step 4: Simplify right side
    20,291.40x = 217,512,777.57
  5. Step 5: Solve for x
    x = 217,512,777.57/20,291.40
  6. Step 6: Final answer
    x = 10,719.46

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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.