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Finding the Fourth Proportional to 16,995.96, 25,480.98 and 10,827

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Solution

The fourth proportional to 16,995.96, 25,480.98 and 10,827 is: 16,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,995.96 : 25,480.98 = 10,827 : x
  2. Step 2: Convert to fraction form
    16,995.96/25,480.98 = 10,827/x
  3. Step 3: Cross multiply
    16,995.96x = 25,480.98 × 10,827
  4. Step 4: Simplify right side
    16,995.96x = 275,882,570.46
  5. Step 5: Solve for x
    x = 275,882,570.46/16,995.96
  6. Step 6: Final answer
    x = 16,232.24

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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.