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Finding the Fourth Proportional to 14,735.96, 20,335.63 and 8,021.64

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Solution

The fourth proportional to 14,735.96, 20,335.63 and 8,021.64 is: 11,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.96 : 20,335.63 = 8,021.64 : x
  2. Step 2: Convert to fraction form
    14,735.96/20,335.63 = 8,021.64/x
  3. Step 3: Cross multiply
    14,735.96x = 20,335.63 × 8,021.64
  4. Step 4: Simplify right side
    14,735.96x = 163,125,023.03
  5. Step 5: Solve for x
    x = 163,125,023.03/14,735.96
  6. Step 6: Final answer
    x = 11,069.86

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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.