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Finding the Fourth Proportional to 13,010.68, 17,954.72 and 7,042.33

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Solution

The fourth proportional to 13,010.68, 17,954.72 and 7,042.33 is: 9,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.68 : 17,954.72 = 7,042.33 : x
  2. Step 2: Convert to fraction form
    13,010.68/17,954.72 = 7,042.33/x
  3. Step 3: Cross multiply
    13,010.68x = 17,954.72 × 7,042.33
  4. Step 4: Simplify right side
    13,010.68x = 126,443,036.02
  5. Step 5: Solve for x
    x = 126,443,036.02/13,010.68
  6. Step 6: Final answer
    x = 9,718.41

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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.