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Finding the Fourth Proportional to 12,041.97, 16,617.27 and 7,005.39

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Solution

The fourth proportional to 12,041.97, 16,617.27 and 7,005.39 is: 9,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.97 : 16,617.27 = 7,005.39 : x
  2. Step 2: Convert to fraction form
    12,041.97/16,617.27 = 7,005.39/x
  3. Step 3: Cross multiply
    12,041.97x = 16,617.27 × 7,005.39
  4. Step 4: Simplify right side
    12,041.97x = 116,410,457.09
  5. Step 5: Solve for x
    x = 116,410,457.09/12,041.97
  6. Step 6: Final answer
    x = 9,667.06

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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.