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Finding the Fourth Proportional to 24,384.96, 33,638.62 and 14,306.64

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Solution

The fourth proportional to 24,384.96, 33,638.62 and 14,306.64 is: 19,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.96 : 33,638.62 = 14,306.64 : x
  2. Step 2: Convert to fraction form
    24,384.96/33,638.62 = 14,306.64/x
  3. Step 3: Cross multiply
    24,384.96x = 33,638.62 × 14,306.64
  4. Step 4: Simplify right side
    24,384.96x = 481,255,626.44
  5. Step 5: Solve for x
    x = 481,255,626.44/24,384.96
  6. Step 6: Final answer
    x = 19,735.76

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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.