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Finding the Fourth Proportional to 20,309.40, 30,431.70 and 17,004.60

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Solution

The fourth proportional to 20,309.40, 30,431.70 and 17,004.60 is: 25,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.40 : 30,431.70 = 17,004.60 : x
  2. Step 2: Convert to fraction form
    20,309.40/30,431.70 = 17,004.60/x
  3. Step 3: Cross multiply
    20,309.40x = 30,431.70 × 17,004.60
  4. Step 4: Simplify right side
    20,309.40x = 517,478,885.82
  5. Step 5: Solve for x
    x = 517,478,885.82/20,309.40
  6. Step 6: Final answer
    x = 25,479.77

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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.