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Finding the Fourth Proportional to 12,041.46, 16,617.42 and 6,736.14

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Solution

The fourth proportional to 12,041.46, 16,617.42 and 6,736.14 is: 9,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.46 : 16,617.42 = 6,736.14 : x
  2. Step 2: Convert to fraction form
    12,041.46/16,617.42 = 6,736.14/x
  3. Step 3: Cross multiply
    12,041.46x = 16,617.42 × 6,736.14
  4. Step 4: Simplify right side
    12,041.46x = 111,937,267.56
  5. Step 5: Solve for x
    x = 111,937,267.56/12,041.46
  6. Step 6: Final answer
    x = 9,295.99

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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.