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Finding the Fourth Proportional to 12,701.75, 17,528.31 and 7,112.75

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Solution

The fourth proportional to 12,701.75, 17,528.31 and 7,112.75 is: 9,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.75 : 17,528.31 = 7,112.75 : x
  2. Step 2: Convert to fraction form
    12,701.75/17,528.31 = 7,112.75/x
  3. Step 3: Cross multiply
    12,701.75x = 17,528.31 × 7,112.75
  4. Step 4: Simplify right side
    12,701.75x = 124,674,399.31
  5. Step 5: Solve for x
    x = 124,674,399.31/12,701.75
  6. Step 6: Final answer
    x = 9,815.53

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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.