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Finding the Fourth Proportional to 13,722.14, 18,934.06 and 8,057.13

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Solution

The fourth proportional to 13,722.14, 18,934.06 and 8,057.13 is: 11,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.14 : 18,934.06 = 8,057.13 : x
  2. Step 2: Convert to fraction form
    13,722.14/18,934.06 = 8,057.13/x
  3. Step 3: Cross multiply
    13,722.14x = 18,934.06 × 8,057.13
  4. Step 4: Simplify right side
    13,722.14x = 152,554,182.85
  5. Step 5: Solve for x
    x = 152,554,182.85/13,722.14
  6. Step 6: Final answer
    x = 11,117.38

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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.