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Finding the Fourth Proportional to 16,427.25, 22,669.64 and 8,975.25

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Solution

The fourth proportional to 16,427.25, 22,669.64 and 8,975.25 is: 12,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.25 : 22,669.64 = 8,975.25 : x
  2. Step 2: Convert to fraction form
    16,427.25/22,669.64 = 8,975.25/x
  3. Step 3: Cross multiply
    16,427.25x = 22,669.64 × 8,975.25
  4. Step 4: Simplify right side
    16,427.25x = 203,465,641.53
  5. Step 5: Solve for x
    x = 203,465,641.53/16,427.25
  6. Step 6: Final answer
    x = 12,385.86

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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.