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Finding the Fourth Proportional to 12,820.43, 17,690.60 and 7,155.49

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Solution

The fourth proportional to 12,820.43, 17,690.60 and 7,155.49 is: 9,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.43 : 17,690.60 = 7,155.49 : x
  2. Step 2: Convert to fraction form
    12,820.43/17,690.60 = 7,155.49/x
  3. Step 3: Cross multiply
    12,820.43x = 17,690.60 × 7,155.49
  4. Step 4: Simplify right side
    12,820.43x = 126,584,918.23
  5. Step 5: Solve for x
    x = 126,584,918.23/12,820.43
  6. Step 6: Final answer
    x = 9,873.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.