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Finding the Fourth Proportional to 17,633.34, 26,451.72 and 5,153.49

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Solution

The fourth proportional to 17,633.34, 26,451.72 and 5,153.49 is: 7,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.34 : 26,451.72 = 5,153.49 : x
  2. Step 2: Convert to fraction form
    17,633.34/26,451.72 = 5,153.49/x
  3. Step 3: Cross multiply
    17,633.34x = 26,451.72 × 5,153.49
  4. Step 4: Simplify right side
    17,633.34x = 136,318,674.50
  5. Step 5: Solve for x
    x = 136,318,674.50/17,633.34
  6. Step 6: Final answer
    x = 7,730.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.