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Finding the Fourth Proportional to 29,507.94, 44,280 and 11,977.92

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Solution

The fourth proportional to 29,507.94, 44,280 and 11,977.92 is: 17,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.94 : 44,280 = 11,977.92 : x
  2. Step 2: Convert to fraction form
    29,507.94/44,280 = 11,977.92/x
  3. Step 3: Cross multiply
    29,507.94x = 44,280 × 11,977.92
  4. Step 4: Simplify right side
    29,507.94x = 530,382,297.60
  5. Step 5: Solve for x
    x = 530,382,297.60/29,507.94
  6. Step 6: Final answer
    x = 17,974.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.