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Finding the Fourth Proportional to 12,805.12, 17,670.96 and 7,139.80

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Solution

The fourth proportional to 12,805.12, 17,670.96 and 7,139.80 is: 9,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.12 : 17,670.96 = 7,139.80 : x
  2. Step 2: Convert to fraction form
    12,805.12/17,670.96 = 7,139.80/x
  3. Step 3: Cross multiply
    12,805.12x = 17,670.96 × 7,139.80
  4. Step 4: Simplify right side
    12,805.12x = 126,167,120.21
  5. Step 5: Solve for x
    x = 126,167,120.21/12,805.12
  6. Step 6: Final answer
    x = 9,852.87

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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.