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Finding the Fourth Proportional to 12,003.09, 16,564.31 and 6,698.13

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Solution

The fourth proportional to 12,003.09, 16,564.31 and 6,698.13 is: 9,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.09 : 16,564.31 = 6,698.13 : x
  2. Step 2: Convert to fraction form
    12,003.09/16,564.31 = 6,698.13/x
  3. Step 3: Cross multiply
    12,003.09x = 16,564.31 × 6,698.13
  4. Step 4: Simplify right side
    12,003.09x = 110,949,901.74
  5. Step 5: Solve for x
    x = 110,949,901.74/12,003.09
  6. Step 6: Final answer
    x = 9,243.44

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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.