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Finding the Fourth Proportional to 20,111.70, 30,196.35 and 11,363.70

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Solution

The fourth proportional to 20,111.70, 30,196.35 and 11,363.70 is: 17,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.70 : 30,196.35 = 11,363.70 : x
  2. Step 2: Convert to fraction form
    20,111.70/30,196.35 = 11,363.70/x
  3. Step 3: Cross multiply
    20,111.70x = 30,196.35 × 11,363.70
  4. Step 4: Simplify right side
    20,111.70x = 343,142,262.50
  5. Step 5: Solve for x
    x = 343,142,262.50/20,111.70
  6. Step 6: Final answer
    x = 17,061.82

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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.