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Finding the Fourth Proportional to 20,406.84, 30,610.64 and 5,615.68

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Solution

The fourth proportional to 20,406.84, 30,610.64 and 5,615.68 is: 8,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.84 : 30,610.64 = 5,615.68 : x
  2. Step 2: Convert to fraction form
    20,406.84/30,610.64 = 5,615.68/x
  3. Step 3: Cross multiply
    20,406.84x = 30,610.64 × 5,615.68
  4. Step 4: Simplify right side
    20,406.84x = 171,899,558.84
  5. Step 5: Solve for x
    x = 171,899,558.84/20,406.84
  6. Step 6: Final answer
    x = 8,423.62

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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.