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Finding the Fourth Proportional to 16,284.78, 22,472.64 and 9,571.05

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Solution

The fourth proportional to 16,284.78, 22,472.64 and 9,571.05 is: 13,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.78 : 22,472.64 = 9,571.05 : x
  2. Step 2: Convert to fraction form
    16,284.78/22,472.64 = 9,571.05/x
  3. Step 3: Cross multiply
    16,284.78x = 22,472.64 × 9,571.05
  4. Step 4: Simplify right side
    16,284.78x = 215,086,761.07
  5. Step 5: Solve for x
    x = 215,086,761.07/16,284.78
  6. Step 6: Final answer
    x = 13,207.84

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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.