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Finding the Fourth Proportional to 24,964.34, 34,450.96 and 13,633.54

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Solution

The fourth proportional to 24,964.34, 34,450.96 and 13,633.54 is: 18,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,964.34 : 34,450.96 = 13,633.54 : x
  2. Step 2: Convert to fraction form
    24,964.34/34,450.96 = 13,633.54/x
  3. Step 3: Cross multiply
    24,964.34x = 34,450.96 × 13,633.54
  4. Step 4: Simplify right side
    24,964.34x = 469,688,541.20
  5. Step 5: Solve for x
    x = 469,688,541.20/24,964.34
  6. Step 6: Final answer
    x = 18,814.38

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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.