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Finding the Fourth Proportional to 19,877.44, 29,769.44 and 11,675.20

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Solution

The fourth proportional to 19,877.44, 29,769.44 and 11,675.20 is: 17,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.44 : 29,769.44 = 11,675.20 : x
  2. Step 2: Convert to fraction form
    19,877.44/29,769.44 = 11,675.20/x
  3. Step 3: Cross multiply
    19,877.44x = 29,769.44 × 11,675.20
  4. Step 4: Simplify right side
    19,877.44x = 347,564,165.89
  5. Step 5: Solve for x
    x = 347,564,165.89/19,877.44
  6. Step 6: Final answer
    x = 17,485.36

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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.