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Finding the Fourth Proportional to 12,006.06, 16,567.83 and 6,969.89

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Solution

The fourth proportional to 12,006.06, 16,567.83 and 6,969.89 is: 9,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.06 : 16,567.83 = 6,969.89 : x
  2. Step 2: Convert to fraction form
    12,006.06/16,567.83 = 6,969.89/x
  3. Step 3: Cross multiply
    12,006.06x = 16,567.83 × 6,969.89
  4. Step 4: Simplify right side
    12,006.06x = 115,475,869.80
  5. Step 5: Solve for x
    x = 115,475,869.80/12,006.06
  6. Step 6: Final answer
    x = 9,618.13

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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.