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Finding the Fourth Proportional to 12,569.85, 17,336.80 and 8,539.79

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Solution

The fourth proportional to 12,569.85, 17,336.80 and 8,539.79 is: 11,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.85 : 17,336.80 = 8,539.79 : x
  2. Step 2: Convert to fraction form
    12,569.85/17,336.80 = 8,539.79/x
  3. Step 3: Cross multiply
    12,569.85x = 17,336.80 × 8,539.79
  4. Step 4: Simplify right side
    12,569.85x = 148,052,631.27
  5. Step 5: Solve for x
    x = 148,052,631.27/12,569.85
  6. Step 6: Final answer
    x = 11,778.39

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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.