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Finding the Fourth Proportional to 12,003.01, 16,564.68 and 6,697.85

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Solution

The fourth proportional to 12,003.01, 16,564.68 and 6,697.85 is: 9,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.01 : 16,564.68 = 6,697.85 : x
  2. Step 2: Convert to fraction form
    12,003.01/16,564.68 = 6,697.85/x
  3. Step 3: Cross multiply
    12,003.01x = 16,564.68 × 6,697.85
  4. Step 4: Simplify right side
    12,003.01x = 110,947,659.11
  5. Step 5: Solve for x
    x = 110,947,659.11/12,003.01
  6. Step 6: Final answer
    x = 9,243.32

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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.