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Finding the Fourth Proportional to 12,825.87, 17,698.10 and 7,160.94

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Solution

The fourth proportional to 12,825.87, 17,698.10 and 7,160.94 is: 9,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.87 : 17,698.10 = 7,160.94 : x
  2. Step 2: Convert to fraction form
    12,825.87/17,698.10 = 7,160.94/x
  3. Step 3: Cross multiply
    12,825.87x = 17,698.10 × 7,160.94
  4. Step 4: Simplify right side
    12,825.87x = 126,734,996.41
  5. Step 5: Solve for x
    x = 126,734,996.41/12,825.87
  6. Step 6: Final answer
    x = 9,881.20

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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.