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Finding the Fourth Proportional to 12,006.54, 16,569.09 and 6,701.31

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Solution

The fourth proportional to 12,006.54, 16,569.09 and 6,701.31 is: 9,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.54 : 16,569.09 = 6,701.31 : x
  2. Step 2: Convert to fraction form
    12,006.54/16,569.09 = 6,701.31/x
  3. Step 3: Cross multiply
    12,006.54x = 16,569.09 × 6,701.31
  4. Step 4: Simplify right side
    12,006.54x = 111,034,608.51
  5. Step 5: Solve for x
    x = 111,034,608.51/12,006.54
  6. Step 6: Final answer
    x = 9,247.84

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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.