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Finding the Fourth Proportional to 13,907.96, 19,189.68 and 8,456.87

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Solution

The fourth proportional to 13,907.96, 19,189.68 and 8,456.87 is: 11,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.96 : 19,189.68 = 8,456.87 : x
  2. Step 2: Convert to fraction form
    13,907.96/19,189.68 = 8,456.87/x
  3. Step 3: Cross multiply
    13,907.96x = 19,189.68 × 8,456.87
  4. Step 4: Simplify right side
    13,907.96x = 162,284,629.10
  5. Step 5: Solve for x
    x = 162,284,629.10/13,907.96
  6. Step 6: Final answer
    x = 11,668.47

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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.