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Finding the Fourth Proportional to 19,658.85, 29,501.97 and 8,559.82

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Solution

The fourth proportional to 19,658.85, 29,501.97 and 8,559.82 is: 12,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.85 : 29,501.97 = 8,559.82 : x
  2. Step 2: Convert to fraction form
    19,658.85/29,501.97 = 8,559.82/x
  3. Step 3: Cross multiply
    19,658.85x = 29,501.97 × 8,559.82
  4. Step 4: Simplify right side
    19,658.85x = 252,531,552.85
  5. Step 5: Solve for x
    x = 252,531,552.85/19,658.85
  6. Step 6: Final answer
    x = 12,845.69

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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.