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Finding the Fourth Proportional to 12,833.25, 17,710.17 and 7,167.69

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Solution

The fourth proportional to 12,833.25, 17,710.17 and 7,167.69 is: 9,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.25 : 17,710.17 = 7,167.69 : x
  2. Step 2: Convert to fraction form
    12,833.25/17,710.17 = 7,167.69/x
  3. Step 3: Cross multiply
    12,833.25x = 17,710.17 × 7,167.69
  4. Step 4: Simplify right side
    12,833.25x = 126,941,008.41
  5. Step 5: Solve for x
    x = 126,941,008.41/12,833.25
  6. Step 6: Final answer
    x = 9,891.57

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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.