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Finding the Fourth Proportional to 13,015.22, 19,509.86 and 5,229.50

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Solution

The fourth proportional to 13,015.22, 19,509.86 and 5,229.50 is: 7,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.22 : 19,509.86 = 5,229.50 : x
  2. Step 2: Convert to fraction form
    13,015.22/19,509.86 = 5,229.50/x
  3. Step 3: Cross multiply
    13,015.22x = 19,509.86 × 5,229.50
  4. Step 4: Simplify right side
    13,015.22x = 102,026,728.39
  5. Step 5: Solve for x
    x = 102,026,728.39/13,015.22
  6. Step 6: Final answer
    x = 7,839.04

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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.