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Finding the Fourth Proportional to 16,277.28, 22,462.70 and 8,825.28

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Solution

The fourth proportional to 16,277.28, 22,462.70 and 8,825.28 is: 12,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.28 : 22,462.70 = 8,825.28 : x
  2. Step 2: Convert to fraction form
    16,277.28/22,462.70 = 8,825.28/x
  3. Step 3: Cross multiply
    16,277.28x = 22,462.70 × 8,825.28
  4. Step 4: Simplify right side
    16,277.28x = 198,239,617.06
  5. Step 5: Solve for x
    x = 198,239,617.06/16,277.28
  6. Step 6: Final answer
    x = 12,178.92

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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.