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Finding the Fourth Proportional to 12,836.93, 17,713.82 and 7,170.91

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Solution

The fourth proportional to 12,836.93, 17,713.82 and 7,170.91 is: 9,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.93 : 17,713.82 = 7,170.91 : x
  2. Step 2: Convert to fraction form
    12,836.93/17,713.82 = 7,170.91/x
  3. Step 3: Cross multiply
    12,836.93x = 17,713.82 × 7,170.91
  4. Step 4: Simplify right side
    12,836.93x = 127,024,182.62
  5. Step 5: Solve for x
    x = 127,024,182.62/12,836.93
  6. Step 6: Final answer
    x = 9,895.22

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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.