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Finding the Fourth Proportional to 11,730.40, 16,191.60 and 9,656.80

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Solution

The fourth proportional to 11,730.40, 16,191.60 and 9,656.80 is: 13,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.40 : 16,191.60 = 9,656.80 : x
  2. Step 2: Convert to fraction form
    11,730.40/16,191.60 = 9,656.80/x
  3. Step 3: Cross multiply
    11,730.40x = 16,191.60 × 9,656.80
  4. Step 4: Simplify right side
    11,730.40x = 156,359,042.88
  5. Step 5: Solve for x
    x = 156,359,042.88/11,730.40
  6. Step 6: Final answer
    x = 13,329.39

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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.