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Finding the Fourth Proportional to 12,824.76, 17,699.06 and 7,160.62

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Solution

The fourth proportional to 12,824.76, 17,699.06 and 7,160.62 is: 9,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.76 : 17,699.06 = 7,160.62 : x
  2. Step 2: Convert to fraction form
    12,824.76/17,699.06 = 7,160.62/x
  3. Step 3: Cross multiply
    12,824.76x = 17,699.06 × 7,160.62
  4. Step 4: Simplify right side
    12,824.76x = 126,736,243.02
  5. Step 5: Solve for x
    x = 126,736,243.02/12,824.76
  6. Step 6: Final answer
    x = 9,882.15

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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.