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Finding the Fourth Proportional to 13,682.23, 20,526.99 and 4,917.22

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Solution

The fourth proportional to 13,682.23, 20,526.99 and 4,917.22 is: 7,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.23 : 20,526.99 = 4,917.22 : x
  2. Step 2: Convert to fraction form
    13,682.23/20,526.99 = 4,917.22/x
  3. Step 3: Cross multiply
    13,682.23x = 20,526.99 × 4,917.22
  4. Step 4: Simplify right side
    13,682.23x = 100,935,725.77
  5. Step 5: Solve for x
    x = 100,935,725.77/13,682.23
  6. Step 6: Final answer
    x = 7,377.14

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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.