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Finding the Fourth Proportional to 14,784.96, 20,402.28 and 8,236.20

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Solution

The fourth proportional to 14,784.96, 20,402.28 and 8,236.20 is: 11,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.96 : 20,402.28 = 8,236.20 : x
  2. Step 2: Convert to fraction form
    14,784.96/20,402.28 = 8,236.20/x
  3. Step 3: Cross multiply
    14,784.96x = 20,402.28 × 8,236.20
  4. Step 4: Simplify right side
    14,784.96x = 168,037,258.54
  5. Step 5: Solve for x
    x = 168,037,258.54/14,784.96
  6. Step 6: Final answer
    x = 11,365.42

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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.