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Finding the Fourth Proportional to 13,556.60, 20,296.56 and 8,614

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Solution

The fourth proportional to 13,556.60, 20,296.56 and 8,614 is: 12,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556.60 : 20,296.56 = 8,614 : x
  2. Step 2: Convert to fraction form
    13,556.60/20,296.56 = 8,614/x
  3. Step 3: Cross multiply
    13,556.60x = 20,296.56 × 8,614
  4. Step 4: Simplify right side
    13,556.60x = 174,834,567.84
  5. Step 5: Solve for x
    x = 174,834,567.84/13,556.60
  6. Step 6: Final answer
    x = 12,896.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.