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Finding the Fourth Proportional to 12,918.56, 17,824.32 and 7,882.45

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Solution

The fourth proportional to 12,918.56, 17,824.32 and 7,882.45 is: 10,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.56 : 17,824.32 = 7,882.45 : x
  2. Step 2: Convert to fraction form
    12,918.56/17,824.32 = 7,882.45/x
  3. Step 3: Cross multiply
    12,918.56x = 17,824.32 × 7,882.45
  4. Step 4: Simplify right side
    12,918.56x = 140,499,266.62
  5. Step 5: Solve for x
    x = 140,499,266.62/12,918.56
  6. Step 6: Final answer
    x = 10,875.77

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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.