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Finding the Fourth Proportional to 13,763.74, 18,992.06 and 8,095.14

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Solution

The fourth proportional to 13,763.74, 18,992.06 and 8,095.14 is: 11,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.74 : 18,992.06 = 8,095.14 : x
  2. Step 2: Convert to fraction form
    13,763.74/18,992.06 = 8,095.14/x
  3. Step 3: Cross multiply
    13,763.74x = 18,992.06 × 8,095.14
  4. Step 4: Simplify right side
    13,763.74x = 153,743,384.59
  5. Step 5: Solve for x
    x = 153,743,384.59/13,763.74
  6. Step 6: Final answer
    x = 11,170.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.