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Finding the Fourth Proportional to 16,277.25, 22,462.62 and 8,825.25

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Solution

The fourth proportional to 16,277.25, 22,462.62 and 8,825.25 is: 12,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.25 : 22,462.62 = 8,825.25 : x
  2. Step 2: Convert to fraction form
    16,277.25/22,462.62 = 8,825.25/x
  3. Step 3: Cross multiply
    16,277.25x = 22,462.62 × 8,825.25
  4. Step 4: Simplify right side
    16,277.25x = 198,238,237.16
  5. Step 5: Solve for x
    x = 198,238,237.16/16,277.25
  6. Step 6: Final answer
    x = 12,178.85

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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.