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Finding the Fourth Proportional to 12,761.60, 17,627.36 and 9,813.60

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Solution

The fourth proportional to 12,761.60, 17,627.36 and 9,813.60 is: 13,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.60 : 17,627.36 = 9,813.60 : x
  2. Step 2: Convert to fraction form
    12,761.60/17,627.36 = 9,813.60/x
  3. Step 3: Cross multiply
    12,761.60x = 17,627.36 × 9,813.60
  4. Step 4: Simplify right side
    12,761.60x = 172,987,860.10
  5. Step 5: Solve for x
    x = 172,987,860.10/12,761.60
  6. Step 6: Final answer
    x = 13,555.34

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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.