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Finding the Fourth Proportional to 19,957.56, 29,933.49 and 7,475.88

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Solution

The fourth proportional to 19,957.56, 29,933.49 and 7,475.88 is: 11,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.56 : 29,933.49 = 7,475.88 : x
  2. Step 2: Convert to fraction form
    19,957.56/29,933.49 = 7,475.88/x
  3. Step 3: Cross multiply
    19,957.56x = 29,933.49 × 7,475.88
  4. Step 4: Simplify right side
    19,957.56x = 223,779,179.22
  5. Step 5: Solve for x
    x = 223,779,179.22/19,957.56
  6. Step 6: Final answer
    x = 11,212.75

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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.