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Finding the Fourth Proportional to 20,171.90, 30,225.45 and 13,238.30

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Solution

The fourth proportional to 20,171.90, 30,225.45 and 13,238.30 is: 19,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.90 : 30,225.45 = 13,238.30 : x
  2. Step 2: Convert to fraction form
    20,171.90/30,225.45 = 13,238.30/x
  3. Step 3: Cross multiply
    20,171.90x = 30,225.45 × 13,238.30
  4. Step 4: Simplify right side
    20,171.90x = 400,133,574.74
  5. Step 5: Solve for x
    x = 400,133,574.74/20,171.90
  6. Step 6: Final answer
    x = 19,836.19

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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.