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Finding the Fourth Proportional to 12,041.46, 16,617.24 and 6,736.50

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Solution

The fourth proportional to 12,041.46, 16,617.24 and 6,736.50 is: 9,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.46 : 16,617.24 = 6,736.50 : x
  2. Step 2: Convert to fraction form
    12,041.46/16,617.24 = 6,736.50/x
  3. Step 3: Cross multiply
    12,041.46x = 16,617.24 × 6,736.50
  4. Step 4: Simplify right side
    12,041.46x = 111,942,037.26
  5. Step 5: Solve for x
    x = 111,942,037.26/12,041.46
  6. Step 6: Final answer
    x = 9,296.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.