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Finding the Fourth Proportional to 13,018.50, 19,524.70 and 3,659.41

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Solution

The fourth proportional to 13,018.50, 19,524.70 and 3,659.41 is: 5,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.50 : 19,524.70 = 3,659.41 : x
  2. Step 2: Convert to fraction form
    13,018.50/19,524.70 = 3,659.41/x
  3. Step 3: Cross multiply
    13,018.50x = 19,524.70 × 3,659.41
  4. Step 4: Simplify right side
    13,018.50x = 71,448,864.13
  5. Step 5: Solve for x
    x = 71,448,864.13/13,018.50
  6. Step 6: Final answer
    x = 5,488.26

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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.