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Finding the Fourth Proportional to 13,213.80, 19,802.70 and 8,519.40

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Solution

The fourth proportional to 13,213.80, 19,802.70 and 8,519.40 is: 12,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.80 : 19,802.70 = 8,519.40 : x
  2. Step 2: Convert to fraction form
    13,213.80/19,802.70 = 8,519.40/x
  3. Step 3: Cross multiply
    13,213.80x = 19,802.70 × 8,519.40
  4. Step 4: Simplify right side
    13,213.80x = 168,707,122.38
  5. Step 5: Solve for x
    x = 168,707,122.38/13,213.80
  6. Step 6: Final answer
    x = 12,767.49

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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.