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Finding the Fourth Proportional to 11,149.78, 16,702.80 and 9,509.80

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Solution

The fourth proportional to 11,149.78, 16,702.80 and 9,509.80 is: 14,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.78 : 16,702.80 = 9,509.80 : x
  2. Step 2: Convert to fraction form
    11,149.78/16,702.80 = 9,509.80/x
  3. Step 3: Cross multiply
    11,149.78x = 16,702.80 × 9,509.80
  4. Step 4: Simplify right side
    11,149.78x = 158,840,287.44
  5. Step 5: Solve for x
    x = 158,840,287.44/11,149.78
  6. Step 6: Final answer
    x = 14,246.05

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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.