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Finding the Fourth Proportional to 13,007.36, 19,512.48 and 5,215.28

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Solution

The fourth proportional to 13,007.36, 19,512.48 and 5,215.28 is: 7,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.36 : 19,512.48 = 5,215.28 : x
  2. Step 2: Convert to fraction form
    13,007.36/19,512.48 = 5,215.28/x
  3. Step 3: Cross multiply
    13,007.36x = 19,512.48 × 5,215.28
  4. Step 4: Simplify right side
    13,007.36x = 101,763,046.69
  5. Step 5: Solve for x
    x = 101,763,046.69/13,007.36
  6. Step 6: Final answer
    x = 7,823.50

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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.