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Finding the Fourth Proportional to 12,005.33, 16,567.25 and 6,627.83

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Solution

The fourth proportional to 12,005.33, 16,567.25 and 6,627.83 is: 9,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.33 : 16,567.25 = 6,627.83 : x
  2. Step 2: Convert to fraction form
    12,005.33/16,567.25 = 6,627.83/x
  3. Step 3: Cross multiply
    12,005.33x = 16,567.25 × 6,627.83
  4. Step 4: Simplify right side
    12,005.33x = 109,804,800.59
  5. Step 5: Solve for x
    x = 109,804,800.59/12,005.33
  6. Step 6: Final answer
    x = 9,146.34

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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.