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Finding the Fourth Proportional to 20,396.01, 30,588.14 and 5,605.41

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Solution

The fourth proportional to 20,396.01, 30,588.14 and 5,605.41 is: 8,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.01 : 30,588.14 = 5,605.41 : x
  2. Step 2: Convert to fraction form
    20,396.01/30,588.14 = 5,605.41/x
  3. Step 3: Cross multiply
    20,396.01x = 30,588.14 × 5,605.41
  4. Step 4: Simplify right side
    20,396.01x = 171,459,037.81
  5. Step 5: Solve for x
    x = 171,459,037.81/20,396.01
  6. Step 6: Final answer
    x = 8,406.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.