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Finding the Fourth Proportional to 13,010.34, 17,954.33 and 7,345.33

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Solution

The fourth proportional to 13,010.34, 17,954.33 and 7,345.33 is: 10,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.34 : 17,954.33 = 7,345.33 : x
  2. Step 2: Convert to fraction form
    13,010.34/17,954.33 = 7,345.33/x
  3. Step 3: Cross multiply
    13,010.34x = 17,954.33 × 7,345.33
  4. Step 4: Simplify right side
    13,010.34x = 131,880,478.78
  5. Step 5: Solve for x
    x = 131,880,478.78/13,010.34
  6. Step 6: Final answer
    x = 10,136.59

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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.