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Finding the Fourth Proportional to 24,704.56, 34,092.84 and 14,632.84

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Solution

The fourth proportional to 24,704.56, 34,092.84 and 14,632.84 is: 20,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.56 : 34,092.84 = 14,632.84 : x
  2. Step 2: Convert to fraction form
    24,704.56/34,092.84 = 14,632.84/x
  3. Step 3: Cross multiply
    24,704.56x = 34,092.84 × 14,632.84
  4. Step 4: Simplify right side
    24,704.56x = 498,875,072.87
  5. Step 5: Solve for x
    x = 498,875,072.87/24,704.56
  6. Step 6: Final answer
    x = 20,193.64

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1.5x scale

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.