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Finding the Fourth Proportional to 13,176.14, 19,732.21 and 7,243.97

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Solution

The fourth proportional to 13,176.14, 19,732.21 and 7,243.97 is: 10,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.14 : 19,732.21 = 7,243.97 : x
  2. Step 2: Convert to fraction form
    13,176.14/19,732.21 = 7,243.97/x
  3. Step 3: Cross multiply
    13,176.14x = 19,732.21 × 7,243.97
  4. Step 4: Simplify right side
    13,176.14x = 142,939,420.50
  5. Step 5: Solve for x
    x = 142,939,420.50/13,176.14
  6. Step 6: Final answer
    x = 10,848.36

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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.