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Finding the Fourth Proportional to 12,005.83, 16,567.94 and 6,628.33

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Solution

The fourth proportional to 12,005.83, 16,567.94 and 6,628.33 is: 9,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.83 : 16,567.94 = 6,628.33 : x
  2. Step 2: Convert to fraction form
    12,005.83/16,567.94 = 6,628.33/x
  3. Step 3: Cross multiply
    12,005.83x = 16,567.94 × 6,628.33
  4. Step 4: Simplify right side
    12,005.83x = 109,817,657.76
  5. Step 5: Solve for x
    x = 109,817,657.76/12,005.83
  6. Step 6: Final answer
    x = 9,147.03

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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.