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Finding the Fourth Proportional to 12,833.25, 17,709.89 and 7,244.25

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Solution

The fourth proportional to 12,833.25, 17,709.89 and 7,244.25 is: 9,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.25 : 17,709.89 = 7,244.25 : x
  2. Step 2: Convert to fraction form
    12,833.25/17,709.89 = 7,244.25/x
  3. Step 3: Cross multiply
    12,833.25x = 17,709.89 × 7,244.25
  4. Step 4: Simplify right side
    12,833.25x = 128,294,834.41
  5. Step 5: Solve for x
    x = 128,294,834.41/12,833.25
  6. Step 6: Final answer
    x = 9,997.07

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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.