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Finding the Fourth Proportional to 11,341.50, 16,969.50 and 10,190.46

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Solution

The fourth proportional to 11,341.50, 16,969.50 and 10,190.46 is: 15,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.50 : 16,969.50 = 10,190.46 : x
  2. Step 2: Convert to fraction form
    11,341.50/16,969.50 = 10,190.46/x
  3. Step 3: Cross multiply
    11,341.50x = 16,969.50 × 10,190.46
  4. Step 4: Simplify right side
    11,341.50x = 172,927,010.97
  5. Step 5: Solve for x
    x = 172,927,010.97/11,341.50
  6. Step 6: Final answer
    x = 15,247.28

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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.