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Finding the Fourth Proportional to 12,003.08, 16,564.22 and 6,697.84

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Solution

The fourth proportional to 12,003.08, 16,564.22 and 6,697.84 is: 9,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.08 : 16,564.22 = 6,697.84 : x
  2. Step 2: Convert to fraction form
    12,003.08/16,564.22 = 6,697.84/x
  3. Step 3: Cross multiply
    12,003.08x = 16,564.22 × 6,697.84
  4. Step 4: Simplify right side
    12,003.08x = 110,944,495.28
  5. Step 5: Solve for x
    x = 110,944,495.28/12,003.08
  6. Step 6: Final answer
    x = 9,243.00

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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.