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Finding the Fourth Proportional to 19,777.50, 29,666.18 and 7,936.58

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Solution

The fourth proportional to 19,777.50, 29,666.18 and 7,936.58 is: 11,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.50 : 29,666.18 = 7,936.58 : x
  2. Step 2: Convert to fraction form
    19,777.50/29,666.18 = 7,936.58/x
  3. Step 3: Cross multiply
    19,777.50x = 29,666.18 × 7,936.58
  4. Step 4: Simplify right side
    19,777.50x = 235,448,104.87
  5. Step 5: Solve for x
    x = 235,448,104.87/19,777.50
  6. Step 6: Final answer
    x = 11,904.85

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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.