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Finding the Fourth Proportional to 12,002.96, 16,564.43 and 6,697.66

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Solution

The fourth proportional to 12,002.96, 16,564.43 and 6,697.66 is: 9,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.96 : 16,564.43 = 6,697.66 : x
  2. Step 2: Convert to fraction form
    12,002.96/16,564.43 = 6,697.66/x
  3. Step 3: Cross multiply
    12,002.96x = 16,564.43 × 6,697.66
  4. Step 4: Simplify right side
    12,002.96x = 110,942,920.23
  5. Step 5: Solve for x
    x = 110,942,920.23/12,002.96
  6. Step 6: Final answer
    x = 9,242.96

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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.