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Finding the Fourth Proportional to 23,678.17, 35,519.18 and 7,882.63

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Solution

The fourth proportional to 23,678.17, 35,519.18 and 7,882.63 is: 11,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.17 : 35,519.18 = 7,882.63 : x
  2. Step 2: Convert to fraction form
    23,678.17/35,519.18 = 7,882.63/x
  3. Step 3: Cross multiply
    23,678.17x = 35,519.18 × 7,882.63
  4. Step 4: Simplify right side
    23,678.17x = 279,984,425.63
  5. Step 5: Solve for x
    x = 279,984,425.63/23,678.17
  6. Step 6: Final answer
    x = 11,824.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.