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Finding the Fourth Proportional to 13,167.14, 19,747.96 and 4,845

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Solution

The fourth proportional to 13,167.14, 19,747.96 and 4,845 is: 7,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.14 : 19,747.96 = 4,845 : x
  2. Step 2: Convert to fraction form
    13,167.14/19,747.96 = 4,845/x
  3. Step 3: Cross multiply
    13,167.14x = 19,747.96 × 4,845
  4. Step 4: Simplify right side
    13,167.14x = 95,678,866.20
  5. Step 5: Solve for x
    x = 95,678,866.20/13,167.14
  6. Step 6: Final answer
    x = 7,266.49

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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.