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Finding the Fourth Proportional to 20,684.56, 28,549.80 and 13,228.24

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Solution

The fourth proportional to 20,684.56, 28,549.80 and 13,228.24 is: 18,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.56 : 28,549.80 = 13,228.24 : x
  2. Step 2: Convert to fraction form
    20,684.56/28,549.80 = 13,228.24/x
  3. Step 3: Cross multiply
    20,684.56x = 28,549.80 × 13,228.24
  4. Step 4: Simplify right side
    20,684.56x = 377,663,606.35
  5. Step 5: Solve for x
    x = 377,663,606.35/20,684.56
  6. Step 6: Final answer
    x = 18,258.24

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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.