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Finding the Fourth Proportional to 12,066.31, 16,652.17 and 6,688.64

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Solution

The fourth proportional to 12,066.31, 16,652.17 and 6,688.64 is: 9,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.31 : 16,652.17 = 6,688.64 : x
  2. Step 2: Convert to fraction form
    12,066.31/16,652.17 = 6,688.64/x
  3. Step 3: Cross multiply
    12,066.31x = 16,652.17 × 6,688.64
  4. Step 4: Simplify right side
    12,066.31x = 111,380,420.34
  5. Step 5: Solve for x
    x = 111,380,420.34/12,066.31
  6. Step 6: Final answer
    x = 9,230.69

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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.