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Finding the Fourth Proportional to 20,431.64, 30,640.16 and 7,101.20

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Solution

The fourth proportional to 20,431.64, 30,640.16 and 7,101.20 is: 10,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.64 : 30,640.16 = 7,101.20 : x
  2. Step 2: Convert to fraction form
    20,431.64/30,640.16 = 7,101.20/x
  3. Step 3: Cross multiply
    20,431.64x = 30,640.16 × 7,101.20
  4. Step 4: Simplify right side
    20,431.64x = 217,581,904.19
  5. Step 5: Solve for x
    x = 217,581,904.19/20,431.64
  6. Step 6: Final answer
    x = 10,649.26

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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.