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Finding the Fourth Proportional to 13,703.28, 20,523.44 and 8,705.28

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Solution

The fourth proportional to 13,703.28, 20,523.44 and 8,705.28 is: 13,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.28 : 20,523.44 = 8,705.28 : x
  2. Step 2: Convert to fraction form
    13,703.28/20,523.44 = 8,705.28/x
  3. Step 3: Cross multiply
    13,703.28x = 20,523.44 × 8,705.28
  4. Step 4: Simplify right side
    13,703.28x = 178,662,291.76
  5. Step 5: Solve for x
    x = 178,662,291.76/13,703.28
  6. Step 6: Final answer
    x = 13,037.92

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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.