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Finding the Fourth Proportional to 24,896.70, 34,369.11 and 17,827.02

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Solution

The fourth proportional to 24,896.70, 34,369.11 and 17,827.02 is: 24,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.70 : 34,369.11 = 17,827.02 : x
  2. Step 2: Convert to fraction form
    24,896.70/34,369.11 = 17,827.02/x
  3. Step 3: Cross multiply
    24,896.70x = 34,369.11 × 17,827.02
  4. Step 4: Simplify right side
    24,896.70x = 612,698,811.35
  5. Step 5: Solve for x
    x = 612,698,811.35/24,896.70
  6. Step 6: Final answer
    x = 24,609.64

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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.