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Finding the Fourth Proportional to 17,271.69, 23,835.02 and 10,201.60

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Solution

The fourth proportional to 17,271.69, 23,835.02 and 10,201.60 is: 14,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.69 : 23,835.02 = 10,201.60 : x
  2. Step 2: Convert to fraction form
    17,271.69/23,835.02 = 10,201.60/x
  3. Step 3: Cross multiply
    17,271.69x = 23,835.02 × 10,201.60
  4. Step 4: Simplify right side
    17,271.69x = 243,155,340.03
  5. Step 5: Solve for x
    x = 243,155,340.03/17,271.69
  6. Step 6: Final answer
    x = 14,078.26

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