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Finding the Fourth Proportional to 13,239.16, 19,859.82 and 5,448.04

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Solution

The fourth proportional to 13,239.16, 19,859.82 and 5,448.04 is: 8,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239.16 : 19,859.82 = 5,448.04 : x
  2. Step 2: Convert to fraction form
    13,239.16/19,859.82 = 5,448.04/x
  3. Step 3: Cross multiply
    13,239.16x = 19,859.82 × 5,448.04
  4. Step 4: Simplify right side
    13,239.16x = 108,197,093.75
  5. Step 5: Solve for x
    x = 108,197,093.75/13,239.16
  6. Step 6: Final answer
    x = 8,172.50

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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.