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Finding the Fourth Proportional to 12,149.73, 16,772.25 and 8,567.60

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Solution

The fourth proportional to 12,149.73, 16,772.25 and 8,567.60 is: 11,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.73 : 16,772.25 = 8,567.60 : x
  2. Step 2: Convert to fraction form
    12,149.73/16,772.25 = 8,567.60/x
  3. Step 3: Cross multiply
    12,149.73x = 16,772.25 × 8,567.60
  4. Step 4: Simplify right side
    12,149.73x = 143,697,929.10
  5. Step 5: Solve for x
    x = 143,697,929.10/12,149.73
  6. Step 6: Final answer
    x = 11,827.25

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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.