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Finding the Fourth Proportional to 12,773.59, 17,627.38 and 7,184.59

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Solution

The fourth proportional to 12,773.59, 17,627.38 and 7,184.59 is: 9,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.59 : 17,627.38 = 7,184.59 : x
  2. Step 2: Convert to fraction form
    12,773.59/17,627.38 = 7,184.59/x
  3. Step 3: Cross multiply
    12,773.59x = 17,627.38 × 7,184.59
  4. Step 4: Simplify right side
    12,773.59x = 126,645,498.07
  5. Step 5: Solve for x
    x = 126,645,498.07/12,773.59
  6. Step 6: Final answer
    x = 9,914.64

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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.