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Finding the Fourth Proportional to 15,709.70, 21,679.38 and 8,636.12

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Solution

The fourth proportional to 15,709.70, 21,679.38 and 8,636.12 is: 11,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.70 : 21,679.38 = 8,636.12 : x
  2. Step 2: Convert to fraction form
    15,709.70/21,679.38 = 8,636.12/x
  3. Step 3: Cross multiply
    15,709.70x = 21,679.38 × 8,636.12
  4. Step 4: Simplify right side
    15,709.70x = 187,225,727.21
  5. Step 5: Solve for x
    x = 187,225,727.21/15,709.70
  6. Step 6: Final answer
    x = 11,917.84

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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.