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Finding the Fourth Proportional to 13,010.40, 17,954.30 and 7,042.16

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Solution

The fourth proportional to 13,010.40, 17,954.30 and 7,042.16 is: 9,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.40 : 17,954.30 = 7,042.16 : x
  2. Step 2: Convert to fraction form
    13,010.40/17,954.30 = 7,042.16/x
  3. Step 3: Cross multiply
    13,010.40x = 17,954.30 × 7,042.16
  4. Step 4: Simplify right side
    13,010.40x = 126,437,115.78
  5. Step 5: Solve for x
    x = 126,437,115.78/13,010.40
  6. Step 6: Final answer
    x = 9,718.16

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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.