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Finding the Fourth Proportional to 13,701.05, 18,907.12 and 7,732.97

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Solution

The fourth proportional to 13,701.05, 18,907.12 and 7,732.97 is: 10,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.05 : 18,907.12 = 7,732.97 : x
  2. Step 2: Convert to fraction form
    13,701.05/18,907.12 = 7,732.97/x
  3. Step 3: Cross multiply
    13,701.05x = 18,907.12 × 7,732.97
  4. Step 4: Simplify right side
    13,701.05x = 146,208,191.75
  5. Step 5: Solve for x
    x = 146,208,191.75/13,701.05
  6. Step 6: Final answer
    x = 10,671.31

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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.