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Finding the Fourth Proportional to 13,684.48, 20,526.72 and 3,296.23

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Solution

The fourth proportional to 13,684.48, 20,526.72 and 3,296.23 is: 4,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.48 : 20,526.72 = 3,296.23 : x
  2. Step 2: Convert to fraction form
    13,684.48/20,526.72 = 3,296.23/x
  3. Step 3: Cross multiply
    13,684.48x = 20,526.72 × 3,296.23
  4. Step 4: Simplify right side
    13,684.48x = 67,660,726.59
  5. Step 5: Solve for x
    x = 67,660,726.59/13,684.48
  6. Step 6: Final answer
    x = 4,944.34

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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.