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Finding the Fourth Proportional to 19,957.44, 29,936.80 and 7,475.08

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Solution

The fourth proportional to 19,957.44, 29,936.80 and 7,475.08 is: 11,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.44 : 29,936.80 = 7,475.08 : x
  2. Step 2: Convert to fraction form
    19,957.44/29,936.80 = 7,475.08/x
  3. Step 3: Cross multiply
    19,957.44x = 29,936.80 × 7,475.08
  4. Step 4: Simplify right side
    19,957.44x = 223,779,974.94
  5. Step 5: Solve for x
    x = 223,779,974.94/19,957.44
  6. Step 6: Final answer
    x = 11,212.86

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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.