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Finding the Fourth Proportional to 17,123.47, 23,627.36 and 9,567.38

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Solution

The fourth proportional to 17,123.47, 23,627.36 and 9,567.38 is: 13,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.47 : 23,627.36 = 9,567.38 : x
  2. Step 2: Convert to fraction form
    17,123.47/23,627.36 = 9,567.38/x
  3. Step 3: Cross multiply
    17,123.47x = 23,627.36 × 9,567.38
  4. Step 4: Simplify right side
    17,123.47x = 226,052,014.50
  5. Step 5: Solve for x
    x = 226,052,014.50/17,123.47
  6. Step 6: Final answer
    x = 13,201.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.