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Finding the Fourth Proportional to 20,461.68, 30,690.36 and 7,313.76

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Solution

The fourth proportional to 20,461.68, 30,690.36 and 7,313.76 is: 10,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.68 : 30,690.36 = 7,313.76 : x
  2. Step 2: Convert to fraction form
    20,461.68/30,690.36 = 7,313.76/x
  3. Step 3: Cross multiply
    20,461.68x = 30,690.36 × 7,313.76
  4. Step 4: Simplify right side
    20,461.68x = 224,461,927.35
  5. Step 5: Solve for x
    x = 224,461,927.35/20,461.68
  6. Step 6: Final answer
    x = 10,969.87

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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.