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Finding the Fourth Proportional to 23,678.16, 35,519.16 and 7,882.62

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Solution

The fourth proportional to 23,678.16, 35,519.16 and 7,882.62 is: 11,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.16 : 35,519.16 = 7,882.62 : x
  2. Step 2: Convert to fraction form
    23,678.16/35,519.16 = 7,882.62/x
  3. Step 3: Cross multiply
    23,678.16x = 35,519.16 × 7,882.62
  4. Step 4: Simplify right side
    23,678.16x = 279,984,041.00
  5. Step 5: Solve for x
    x = 279,984,041.00/23,678.16
  6. Step 6: Final answer
    x = 11,824.57

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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.