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Finding the Fourth Proportional to 11,709.50, 17,536.64 and 10,162.13

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Solution

The fourth proportional to 11,709.50, 17,536.64 and 10,162.13 is: 15,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.50 : 17,536.64 = 10,162.13 : x
  2. Step 2: Convert to fraction form
    11,709.50/17,536.64 = 10,162.13/x
  3. Step 3: Cross multiply
    11,709.50x = 17,536.64 × 10,162.13
  4. Step 4: Simplify right side
    11,709.50x = 178,209,476.95
  5. Step 5: Solve for x
    x = 178,209,476.95/11,709.50
  6. Step 6: Final answer
    x = 15,219.23

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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.