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Finding the Fourth Proportional to 15,512.20, 23,242.70 and 13,208.20

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Solution

The fourth proportional to 15,512.20, 23,242.70 and 13,208.20 is: 19,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512.20 : 23,242.70 = 13,208.20 : x
  2. Step 2: Convert to fraction form
    15,512.20/23,242.70 = 13,208.20/x
  3. Step 3: Cross multiply
    15,512.20x = 23,242.70 × 13,208.20
  4. Step 4: Simplify right side
    15,512.20x = 306,994,230.14
  5. Step 5: Solve for x
    x = 306,994,230.14/15,512.20
  6. Step 6: Final answer
    x = 19,790.50

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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.