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Finding the Fourth Proportional to 16,284.14, 22,471.32 and 9,210.41

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Solution

The fourth proportional to 16,284.14, 22,471.32 and 9,210.41 is: 12,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.14 : 22,471.32 = 9,210.41 : x
  2. Step 2: Convert to fraction form
    16,284.14/22,471.32 = 9,210.41/x
  3. Step 3: Cross multiply
    16,284.14x = 22,471.32 × 9,210.41
  4. Step 4: Simplify right side
    16,284.14x = 206,970,070.44
  5. Step 5: Solve for x
    x = 206,970,070.44/16,284.14
  6. Step 6: Final answer
    x = 12,709.92

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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.