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Finding the Fourth Proportional to 13,701.52, 20,534.31 and 7,032.39

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Solution

The fourth proportional to 13,701.52, 20,534.31 and 7,032.39 is: 10,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.52 : 20,534.31 = 7,032.39 : x
  2. Step 2: Convert to fraction form
    13,701.52/20,534.31 = 7,032.39/x
  3. Step 3: Cross multiply
    13,701.52x = 20,534.31 × 7,032.39
  4. Step 4: Simplify right side
    13,701.52x = 144,405,199.30
  5. Step 5: Solve for x
    x = 144,405,199.30/13,701.52
  6. Step 6: Final answer
    x = 10,539.36

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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.