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Finding the Fourth Proportional to 20,129.40, 30,194.01 and 17,140.01

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Solution

The fourth proportional to 20,129.40, 30,194.01 and 17,140.01 is: 25,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.40 : 30,194.01 = 17,140.01 : x
  2. Step 2: Convert to fraction form
    20,129.40/30,194.01 = 17,140.01/x
  3. Step 3: Cross multiply
    20,129.40x = 30,194.01 × 17,140.01
  4. Step 4: Simplify right side
    20,129.40x = 517,525,633.34
  5. Step 5: Solve for x
    x = 517,525,633.34/20,129.40
  6. Step 6: Final answer
    x = 25,709.94

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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.