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Finding the Fourth Proportional to 13,610.70, 20,421.88 and 6,596

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Solution

The fourth proportional to 13,610.70, 20,421.88 and 6,596 is: 9,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.70 : 20,421.88 = 6,596 : x
  2. Step 2: Convert to fraction form
    13,610.70/20,421.88 = 6,596/x
  3. Step 3: Cross multiply
    13,610.70x = 20,421.88 × 6,596
  4. Step 4: Simplify right side
    13,610.70x = 134,702,720.48
  5. Step 5: Solve for x
    x = 134,702,720.48/13,610.70
  6. Step 6: Final answer
    x = 9,896.83

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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.