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Finding the Fourth Proportional to 24,990.72, 34,485.84 and 13,812

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Solution

The fourth proportional to 24,990.72, 34,485.84 and 13,812 is: 19,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,990.72 : 34,485.84 = 13,812 : x
  2. Step 2: Convert to fraction form
    24,990.72/34,485.84 = 13,812/x
  3. Step 3: Cross multiply
    24,990.72x = 34,485.84 × 13,812
  4. Step 4: Simplify right side
    24,990.72x = 476,318,422.08
  5. Step 5: Solve for x
    x = 476,318,422.08/24,990.72
  6. Step 6: Final answer
    x = 19,059.81

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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.