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Finding the Fourth Proportional to 24,107.67, 33,271.89 and 14,548.05

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Solution

The fourth proportional to 24,107.67, 33,271.89 and 14,548.05 is: 20,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.67 : 33,271.89 = 14,548.05 : x
  2. Step 2: Convert to fraction form
    24,107.67/33,271.89 = 14,548.05/x
  3. Step 3: Cross multiply
    24,107.67x = 33,271.89 × 14,548.05
  4. Step 4: Simplify right side
    24,107.67x = 484,041,119.31
  5. Step 5: Solve for x
    x = 484,041,119.31/24,107.67
  6. Step 6: Final answer
    x = 20,078.30

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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.