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Finding the Fourth Proportional to 20,141.84, 30,221.40 and 11,363.60

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Solution

The fourth proportional to 20,141.84, 30,221.40 and 11,363.60 is: 17,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.84 : 30,221.40 = 11,363.60 : x
  2. Step 2: Convert to fraction form
    20,141.84/30,221.40 = 11,363.60/x
  3. Step 3: Cross multiply
    20,141.84x = 30,221.40 × 11,363.60
  4. Step 4: Simplify right side
    20,141.84x = 343,423,901.04
  5. Step 5: Solve for x
    x = 343,423,901.04/20,141.84
  6. Step 6: Final answer
    x = 17,050.27

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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.