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Finding the Fourth Proportional to 13,122.91, 18,107.67 and 7,817.59

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Solution

The fourth proportional to 13,122.91, 18,107.67 and 7,817.59 is: 10,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.91 : 18,107.67 = 7,817.59 : x
  2. Step 2: Convert to fraction form
    13,122.91/18,107.67 = 7,817.59/x
  3. Step 3: Cross multiply
    13,122.91x = 18,107.67 × 7,817.59
  4. Step 4: Simplify right side
    13,122.91x = 141,558,339.92
  5. Step 5: Solve for x
    x = 141,558,339.92/13,122.91
  6. Step 6: Final answer
    x = 10,787.12

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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.