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Finding the Fourth Proportional to 13,010.84, 17,954.89 and 7,345.54

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Solution

The fourth proportional to 13,010.84, 17,954.89 and 7,345.54 is: 10,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.84 : 17,954.89 = 7,345.54 : x
  2. Step 2: Convert to fraction form
    13,010.84/17,954.89 = 7,345.54/x
  3. Step 3: Cross multiply
    13,010.84x = 17,954.89 × 7,345.54
  4. Step 4: Simplify right side
    13,010.84x = 131,888,299.44
  5. Step 5: Solve for x
    x = 131,888,299.44/13,010.84
  6. Step 6: Final answer
    x = 10,136.80

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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.