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Finding the Fourth Proportional to 13,784.31, 20,675.03 and 4,431.03

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Solution

The fourth proportional to 13,784.31, 20,675.03 and 4,431.03 is: 6,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.31 : 20,675.03 = 4,431.03 : x
  2. Step 2: Convert to fraction form
    13,784.31/20,675.03 = 4,431.03/x
  3. Step 3: Cross multiply
    13,784.31x = 20,675.03 × 4,431.03
  4. Step 4: Simplify right side
    13,784.31x = 91,611,656.03
  5. Step 5: Solve for x
    x = 91,611,656.03/13,784.31
  6. Step 6: Final answer
    x = 6,646.08

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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.