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Finding the Fourth Proportional to 13,709.98, 20,551.29 and 5,383.90

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Solution

The fourth proportional to 13,709.98, 20,551.29 and 5,383.90 is: 8,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.98 : 20,551.29 = 5,383.90 : x
  2. Step 2: Convert to fraction form
    13,709.98/20,551.29 = 5,383.90/x
  3. Step 3: Cross multiply
    13,709.98x = 20,551.29 × 5,383.90
  4. Step 4: Simplify right side
    13,709.98x = 110,646,090.23
  5. Step 5: Solve for x
    x = 110,646,090.23/13,709.98
  6. Step 6: Final answer
    x = 8,070.48

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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.