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Finding the Fourth Proportional to 12,838.27, 17,716.63 and 7,173.13

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Solution

The fourth proportional to 12,838.27, 17,716.63 and 7,173.13 is: 9,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.27 : 17,716.63 = 7,173.13 : x
  2. Step 2: Convert to fraction form
    12,838.27/17,716.63 = 7,173.13/x
  3. Step 3: Cross multiply
    12,838.27x = 17,716.63 × 7,173.13
  4. Step 4: Simplify right side
    12,838.27x = 127,083,690.15
  5. Step 5: Solve for x
    x = 127,083,690.15/12,838.27
  6. Step 6: Final answer
    x = 9,898.82

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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.