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Finding the Fourth Proportional to 23,649.27, 35,476.65 and 7,855.71

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Solution

The fourth proportional to 23,649.27, 35,476.65 and 7,855.71 is: 11,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.27 : 35,476.65 = 7,855.71 : x
  2. Step 2: Convert to fraction form
    23,649.27/35,476.65 = 7,855.71/x
  3. Step 3: Cross multiply
    23,649.27x = 35,476.65 × 7,855.71
  4. Step 4: Simplify right side
    23,649.27x = 278,694,274.17
  5. Step 5: Solve for x
    x = 278,694,274.17/23,649.27
  6. Step 6: Final answer
    x = 11,784.48

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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.