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Finding the Fourth Proportional to 39,463, 59,204.76 and 11,761

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Solution

The fourth proportional to 39,463, 59,204.76 and 11,761 is: 17,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,463 : 59,204.76 = 11,761 : x
  2. Step 2: Convert to fraction form
    39,463/59,204.76 = 11,761/x
  3. Step 3: Cross multiply
    39,463x = 59,204.76 × 11,761
  4. Step 4: Simplify right side
    39,463x = 696,307,182.36
  5. Step 5: Solve for x
    x = 696,307,182.36/39,463
  6. Step 6: Final answer
    x = 17,644.56

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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.