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Finding the Fourth Proportional to 20,673.24, 31,037.40 and 10,820.40

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Solution

The fourth proportional to 20,673.24, 31,037.40 and 10,820.40 is: 16,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.24 : 31,037.40 = 10,820.40 : x
  2. Step 2: Convert to fraction form
    20,673.24/31,037.40 = 10,820.40/x
  3. Step 3: Cross multiply
    20,673.24x = 31,037.40 × 10,820.40
  4. Step 4: Simplify right side
    20,673.24x = 335,837,082.96
  5. Step 5: Solve for x
    x = 335,837,082.96/20,673.24
  6. Step 6: Final answer
    x = 16,245.01

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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.