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Finding the Fourth Proportional to 12,805.07, 17,670.92 and 7,139.75

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Solution

The fourth proportional to 12,805.07, 17,670.92 and 7,139.75 is: 9,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.07 : 17,670.92 = 7,139.75 : x
  2. Step 2: Convert to fraction form
    12,805.07/17,670.92 = 7,139.75/x
  3. Step 3: Cross multiply
    12,805.07x = 17,670.92 × 7,139.75
  4. Step 4: Simplify right side
    12,805.07x = 126,165,827.02
  5. Step 5: Solve for x
    x = 126,165,827.02/12,805.07
  6. Step 6: Final answer
    x = 9,852.81

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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.